University of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Intrinsic Holmes-Thompson volumes and rigidity in Weil bundles119415410.22098/jfga.2025.17576.1161ENTchuiagaStephaneDepartment of Mathematics, University of Buea,
South West Region, CameroonJournal Article20250531This paper develops a framework for defining intrinsic volumes on manifolds M by leveraging the structure of Weil bundles M<sup>A</sup> associated with Weil algebras A. We explore constructions for a Finsler-like structure F<sub>A</sub> primarily on the fibers of M<sup>A</sup>, aiming to derive it from the algebraic properties of A with minimal reliance on auxiliary metrics on M. The concept of A-naturality is introduced to formalize the intrinsic nature of such structures. From this fiberwise F<sub>A</sub>, an effective Finsler structure F<sub>M</sub> on the tangent bundle TM is derived. The Busemann-Hausdorff measure dV<sub>F</sub> associated with F<sub>M </sub>then provides a volume form on M. We establish foundational results concerning conditions under which a diffeomorphism ø: M → M preserves dV<sub>F</sub>, linking this to the behavior of its prolongation ø<sup>A</sup> and exploring resulting rigidity phenomena, including a characterization theorem for dV<sub>F</sub> under affine symmetries. Furthermore, we propose several significant conjectures and future research directions concerning infinitesimal symmetries, axiomatic uniqueness of these volumes, interactions with curvature, sub-Riemannian limits, and holonomy restrictions.https://jfga.uma.ac.ir/article_4154_465d319702b0e7d95d6a512cea024104.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Some characterization of α-cosymplectic manifolds admitting hyperbolic Ricci solitons (HRS)2030415510.22098/jfga.2025.17789.1169ENShahroudAzamiDepartment of pure mathematics, Faculty of science, Imam Khomeini
International University, Qazvin, Iran.GhodratallahFasihi RamandiDepartment of pure mathematics, Faculty of science, Imam Khomeini
International University, Qazvin, Iran.Majid AliChoudharyDepartment of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad, IndiaJournal Article20250708This work investigates α-cosymplectic and N(k)-contact metric (CM) manifolds equipped with an HRS. We derive some characterization properties for these manifolds.https://jfga.uma.ac.ir/article_4155_87625de8ec2df4daf5699854eebca780.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Study of W7- curvature tensor on (LPK)n manifolds3140415610.22098/jfga.2025.17333.1158ENShivamMishraResearch Scholar, Department of Mathematics and Astronomy, University of Lucknow, U.P., IndiaShyamKishorFaculty, Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P., India.Anoop KumarVermaResearch Scholar, Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P., India.0009-0006-1564-5049Journal Article20250429In this paper, we study the characteristics of n-dimensional Lorentzian para-<br />Kenmotsu manifolds (briefly, (LP K)n) endowed with the W7-curvature tensor. First,<br />we analyzed (LP K)n manifolds under the condition W7(X, Y, Z, ξ) = 0. Next,<br />we explore (LP K)n manifolds satisfying the W7-semisymmetric condition, ϕ-W7-<br />symmetric condition, and ϕ-W7-flat condition. Moreover, we discuss Lorentzian<br />para-Kenmotsu manifolds under the condition W7(U, V ) · R = 0, and prove that<br />such manifolds reduce to Einstein manifolds. Finally, all the relevant results have<br />been verified through an example.https://jfga.uma.ac.ir/article_4156_4fcbb01d83a6b7021944774ba3a7261e.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Shape and topological optimization for a fractional elliptic boundary problem4565415710.22098/jfga.2025.17676.1163ENMalickFALLD´epartement de Math´emtiques, Universit´e Gamal Abdel Nasser de
Conakry, FST, BP 1147 Conakry, GuineaMameGor NGOMD´epartement de Math´emtiques, Universit´e Gamal Abdel Nasser de
Conakry, FST, BP 1147 Conakry, GuineaGuillaumeItbadio SadioLaboratoire de Math´ematiques et Applications (LMA),
Universit´e Assane Seck de Ziguinchor, UFR ST BP 523 Ziguinchor, SenegalIbrahimaFayeLaboratoire d’Informatique, de Math´ematiques et Applications (LIMA),
UFR SATIC,
Universit´e Alioune Diop de Bambey, BP 30 Bambey, SenegalAlassaneSyLaboratoire d’Informatique, de Math´ematiques et Applications (LIMA),
UFR SATIC,
Universit´e Alioune Diop de Bambey, BP 30 Bambey, SenegalDiarafSeckLaboratoire de Math´ematiques de la D´ecision et d’Analyse Num´erique
(L.M.D.A.N).Université Cheikh Anta Diop, Dakar, SenegalJournal Article20250616In this paper, we consider a shape optimization problem associated with the fractional Lapla<br />cian We focus on J( Omega) = j( Omega,u ) where u is the solution of 1.3. We give an existence of<br />optimal shape using differents methods. These results are based compactness and <br />cone property. We establish also the shape derivative and topological derivative of the functional<br />using the minmax method.https://jfga.uma.ac.ir/article_4157_473e490ff32c4d544ffdd28a44251ca0.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Projectively flat Finsler spaces with some special transformed metrics6681423410.22098/jfga.2025.17669.1164ENP. K.DwivediDepartment of Mathematics and Statistics, Dr. Rammanohar Lohia
Avadh University, Ayodhya(U.P.), India-224001SachinKumarDepartment of Mathematics and Statistics, Dr. Rammanohar Lohia
Avadh University, Ayodhya(U.P.), India-224001AshishKumar PandeyDepartment of Mathematics and Statistics, Dr. Rammanohar Lohia
Avadh University, Ayodhya(U.P.), India-224001C. K.MishraDepartment of Mathematics and Statistics, Dr. Rammanohar Lohia
Avadh University, Ayodhya(U.P.), India-224001Journal Article20250616In this research paper, we have considered the various type of β-change in Finsler metric F such as square change Finsler metric, cubic change Finsler metric, quartic change Finsler metric and obtained fundamental metric tensor, Cartan's tensor of these metrics. Further, we obtained the necessary and sufficient conditions under which said metrics are projectively flat and also given a example to support our results.https://jfga.uma.ac.ir/article_4234_d4562539575b4bed5ae7044e4d48fc1f.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Projective change between special cubic (α,β)-metric and Randers metric8293423510.22098/jfga.2025.17700.1166ENBrijesh KumarTripathiDepartment of Mathematics, L. D. College of Engineering, Ahmedabad,
Gujarat, IndiaSadikaKhanScience Mathematics Branch, Gujarat Technological University,
Ahmedabad, Gujarat, IndiaJournal Article20250623In 1994, S. Basco and M. Matsumoto studied the concept of projective change between two Finsler spaces with (α,β)-metrics. Projective change between two Finsler metrics arises from Information Geometry. In the present paper, we find conditions to characterize the projective change between two (α,β)-metrics, such as special cubic (α,β)-metric and Randers metric on a manifold with dim n≥3, where α and <sup> </sup><span class="fontstyle0"> </span><span class="fontstyle2">α<sup>-</sup></span> are two Riemannian metrics, β and β<sup>-</sup> are two non-zero 1-forms.https://jfga.uma.ac.ir/article_4235_d221c4fc886904c08d5a00b5b968eea2.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Adapted connections on foliated manifolds94102423610.22098/jfga.2025.17686.1165ENZohrehNazariDepartment of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, IranElhamZangiabadiDepartment of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, IranJournal Article20250621In this study, we define the local components of the adapted connection relative to the adapted frame field. We also calculate the covariant derivative of a tensor with respect to this connection. Furthermore, we present a classification of totally geodesic foliations and bundle-like metrics, along with the introduction of the local components of the torsion tensor associated with this connection. To illustrate our findings, we provide a relevant example.https://jfga.uma.ac.ir/article_4236_7c891d8137ec04eb79a420e1a6e3ff91.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501On generalized silver Finsler metrics103122423710.22098/jfga.2025.17873.1170ENSalah GomaaElgendiDepartment of Mathematics, College of Science, Jouf University, Skaka, KSA0000-0002-5808-6092AmrSoleimanDepartment of Mathematics, Faculty of Science, Islamic University of
Madinah, Madinah, KSAJournal Article20250718In this paper, we present a coordinate-free investigation of the generalized silver Finsler metric. Specifically, for a Finsler manifold (M, L)$and a 1-form B, we study various geometric structures associated with the Finsler metric L<sup>∼</sup>= L ∅(s), where ∅(s):= s<sup>2</sup> - 2s - 1.The function ∅(s) has roots s<sub>1</sub> = 1 - √2 and s<sub>2</sub> = 1 +√2, where the positive root represents the so-called the silver ratio. Assuming that L is a Finsler metric, we refer to L<sup>∼</sup> as the generalized silver Finsler metric. We derive the associated metric and Cartan tensors, along with other fundamental geometric objects. The non-degeneracy condition of the metric tensor of L<sup>∼</sup> is characterized. We compute the geodesic spray, Barthel connection, and Berwald connection of L<sup>∼</sup>, when the 1-form B arises from a concurrent π-vector field. Furthermore, we determine the curvature of the Barthel connection associated with L<sup>∼</sup>. An illustrative example is also provided.https://jfga.uma.ac.ir/article_4237_ee74a8bccdd1905599ec8bc16c3f907a.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Finite topological type of complete gradient shrinking GRF system solitons123129423810.22098/jfga.2025.18311.1182ENMohamadYar AhmadiDepartment of mathematics, Faculty of mathematics and computers sciences, Shahid Chamran University of Ahvaz, Ahvaz, IranSinaHedayatianDepartment of Mathematics, Faculty of Mathematical and Computer Sciences, Shahid Chamran University of Ahvaz, Ahvaz, IranJournal Article20250909This paper investigates the properties and topological implications of gradient shrinking general Ricci flow (GRF) system solitons. A GRF system soliton is a solution that evolves through a one-parameter family of diffeomorphisms or scaling transformations. Under specific geometric constraints, such as bounded Ricci curvature or positive injectivity radius, we establish a lower bound for the potential function associated with these solitons. Furthermore, we demonstrate that any complete gradient shrinking GRF system soliton exhibits finite topological type. These results extend the understanding of geometric flows, linking them to broader applications in differential geometry and topology.https://jfga.uma.ac.ir/article_4238_b775852b4e50e64ace9b89f30e5c7354.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Finsler generalizations of LP-Sasakian manifolds and generalized η-Ricci solitons130140429510.22098/jfga.2025.17932.1171ENSujitGhoshDepartment of Mathematics, Goenka College of Commerce and Business
Administration, 210, B. B. Ganguly Street, Kolkata-700012, West Bengal,
IndiaJournal Article20250727We introduce a new class of Finsler manifolds modelled on LP-Sasakian structures and develop their geometric properties. The paper defines Finsler LP-Sasakian manifolds, studies their curvature behavior, and formulates generalized η-Ricci solitons in this context. An explicit example is provided, and several directions for future research are proposed.https://jfga.uma.ac.ir/article_4295_e89fc62c68a9f4b7647cf81a8000b25a.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Geometric structures on Lorentzian para-Kenmotsu manifolds admitting a semi-symmetric metric connection141160429610.22098/jfga.2025.17998.1173ENAbhinavVermaDepartment of Mathematics and Astronomy, University of Lucknow, 226007-Lucknow, Uttar Pradesh, IndiaRajendraPrasadDepartment of Mathematics and Astronomy, University of Lucknow, 226007-Lucknow, Uttar Pradesh, IndiaVindhyachal SinghYadavDepartment of Mathematics and Astronomy, University of Lucknow, 226007-Lucknow, Uttar Pradesh, IndiaJournal Article20250805In this paper, we study Lorentzian para-Kenmotsu manifolds endowed with a semi-symmetric metric connection and establish necessary and sufficient conditions under which the Ricci tensor is ω-parallel with respect to this connection. These results extend classical notions of Ricci parallelism from Riemannian geometry to a broader non-Riemannian framework. In addition, we examine the behavior of concircular and projective curvature tensors on such manifolds and derive structural identities that highlight the influence of semi-symmetric torsion on fundamental geometric invariants. To support our theoretical developments, we construct an explicit 4-dimensional illustration. The findings deepen the understanding of non-Riemannian geometric structures and suggest potential applications in generalized theories of gravity.https://jfga.uma.ac.ir/article_4296_2f7e4bf7b7d065cefc41672e38433e3d.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05007120260501Remarks on four-dimensional locally symmetric Walker manifolds161172429710.22098/jfga.2025.18434.1186ENSohrabAzimpourDepartment of Mathematics Education,
Farhangian University, P.O. Box 14665-889,
Tehran, IranShivaSalahvarziDepartment of Mathematics Education,
Farhangian University, P.O. Box 14665-889,
Tehran, IranJournal Article20250925In this paper, we examine certain geometric properties of the curvature tensor for a special case of the Walker metric, assuming g33 = g44 = k̸ = 0, where k is a constant, on a 4-dimensional manifold. Finally, we investigate the necessary and sufficient conditions for the 4-dimensional manifold with this special case of the Walker metric to be locally symmetric.https://jfga.uma.ac.ir/article_4297_eeee1c1e3e06acb8376ca63be4266567.pdf