University of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501Analysis of generalized quasilinear hyperbolic and Boussinesq equations from the point of view of potential symmetry110286610.22098/jfga.2024.14324.1110ENMehdi JafariDepartment of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran.Somayehsadat MahdionDepartment of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran.Journal Article20231229Using the Lie classical method, the potential symmetry of the generalized hyperbolic quasilinear and Boussinesq equations is investigated. To find these symmetries in specific cases, we study various scientific examples that admit these symmetries. In addition, using this method, the potential symmetries of the conservative forms of the Boussinesq equation is determined.https://jfga.uma.ac.ir/article_2866_200302c354a62ad1df4e2f7d8c5a22b9.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501On six- dimensional Finsler space1124286710.22098/jfga.2024.14393.1112ENP.K. DwivediDepartment of Mathematics and Statistics, Dr. Rammanohar Lohia
Avadh University, Ayodhya (U.P.), IndiaC. K. MishraDepartment of Mathematics and Statistics, Dr. Rammanohar Lohia
Avadh University, Ayodhya (U.P.), IndiaSachin KumarDepartment of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya (U.P.), India0009-0009-8633-1153Journal Article20240106The objective of this research paper is to comprehensively explore the main scalars within the cotext of the six- dimensional Finsler space. This investigation leverages both h-connection vectors and v- connection vectors. Additionally we have introduced the T-condition and v-curvature tensor S_hijk and express them in an extended form in relation to scalars and tensors in terms of main scalars.https://jfga.uma.ac.ir/article_2867_9532297e46e75c59e32c2a37ee9a6540.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501An example of conformally Osserman manifold2533286810.22098/jfga.2024.14364.1111ENMouhamadou AbdoubekryBoyeDÉPARTEMENT DE MATHÉMATIQUES, UFR SATIC,
UNIVERSITÉ ALIOUNE DIOP, Bamby, SenegalAbdoul SalamDialloDÉPARTEMENT DE MATHÉMATIQUES, UFR SATIC,
UNIVERSITÉ ALIOUNE DIOP, Bambey, Senegal0000-0003-4254-5829Mohamed El BoukharyMameDÉPARTEMENT DE MATHÉMATIQUES ET INFORMATIQUES, FST,
UNIVERSITÉ DE NOUAKCHOTT, Akjoujt, MauritanieJournal Article20240103In this paper, we investigate pseudo-Riemannian manifolds those eigenvalues of the Weyl conformal Jacobi operators are constant on the unit sphere bundles. Using a result of [4], we give an explicit construction of conformally Osserman manifold which is not locally conformally flat.https://jfga.uma.ac.ir/article_2868_a4b60b1bc56fa53009eae0062802c745.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501On Kropina transformation of exponential (α,β)-metrics3451286910.22098/jfga.2024.14680.1117ENMosayeb ZohrehvandDepartment of Mathematical Science and Statistics, Malayer University, Malayer, Iran0000-0002-3876-4060Ghodratallah Fasihi-RamandiDepartment of pure Mathematics, Faculty of Sciences, Imam Khomeini
International University, Qazvin, IranShahroud AzamiDepartment of pure Mathematics, Faculty of Sciences, Imam Khomeini
International University, Qazvin, Iran0000-0002-8976-2014Journal Article20240214In this paper, we study the Kropina transformation of exponential (α,β)-metric F=α\exp(s), s:=β/α. We characterize the conditions under which this class of (α,β)-metric is locally projectively flat, locally dually flat, and Douglas metric. Based on, we show that the Kropina transformation of an exponential (α,β)-metric is locally projectively flat, locally dually flat and Douglas metric if and only if the exponential (α,β)-metric is locally projectively flat, locally dually flat and Douglas metric, respectively.https://jfga.uma.ac.ir/article_2869_14a1f1f1ff797dce27f604aba90628f9.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501On quintic (α,β)-metrics in Finsler geometry5269287010.22098/jfga.2024.14740.1119ENJila MajidiDepartment of Mathematics Basic Sciences Faculty University of Bonab, Bonab, Iran0000-0003-0261-7904Ali Haji-BadaliDepartment of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab 5551395133, Iran.Journal Article20240225Abstract. In this paper, we study the class of quintic (α,β)-metrics. We show that every weakly Landsberg 5-th root (α,β)-metrics has vanishing S-curvature. Using it, we prove that a quintic (α,β)-metric is a weakly Landsberg metric if and only if it is a Berwald metric. Then, we show that a quintic (α,β)-metric satisfies Ξ = 0 if and only if S = 0.https://jfga.uma.ac.ir/article_2870_4273c655bcc103c740767d8b106889a3.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501Some algebraic and topological structures of Fourier transformable functions7079287110.22098/jfga.2024.14270.1109ENDawood KhanDepartment of Mathematics, University of Balochistan, Quetta, 87300, PakistanHoman EmadifarDepartment of Mathematics, Hamedan Branch, Islamic Azad University,Hamedan, Iran0000-0002-8034-1475Ali AhmedDepartment of Mathematics, University of Balochistan, Quetta, 87300, PakistanSaleem IqbalDepartment of Mathematics, University of Balochistan,
Quetta, 87300, PakistanMuhammad TariqDepartment of Baic Sciences, Mehran University of Engineering and Technology, Jamshoro, PakistanJournal Article20231220In this work, the set of all functions that are Fourier transformable with regard to their structure both algebraic and topological is taken into account. Certain topological properties of the set of Fourier transformable functions with the help of a metric are described. Also determines the proofs of the statements that the set of all Fourier transformable functions is a commutative semi-group with respect to the convolution operation as well as Abelian group with respect to the operation of addition. Metric for two functions belonging to the set of all Fourier transformable functions is defined and the proof that the Fourier transformable functions space is complete with our metric is given. The separability theorem and that the Fourier transformable functions space is disconnected are also discussed.https://jfga.uma.ac.ir/article_2871_ea10f4e547c6f6656285a61b4a95e159.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501Generalized η-Ricci solitons on f -Kenmotsu manifolds admitting a quarter symmetric metric connection8087287810.22098/jfga.2024.14757.1121ENMurat AltunbaşDepartment of Mathematics, Faculty of Arts and Sciences, Erzincan Binali Yıldırım University, Erzincan, TurkeyJournal Article20240227In this paper, we study η-Ricci solitons on 3-dimensional f-Kenmotsu manifolds with respect to a quarter symmetric metric connection. We obtain some results when the potential vector field is pointwise collinear with the Reeb vector field, conformal Killing vector field and a torqued vector field.https://jfga.uma.ac.ir/article_2878_ccd8d2faeb21de0d4a187a9522762f36.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501Direction independence of the mean Landsberg tensor8896287910.22098/jfga.2024.14755.1120ENFahime HashemiDepartment of Mathematics, Faculty of Science, University of Qom
Qom. IranJournal Article20240227Finsler manifolds some of whose characteristic tensors are direction independent provide stimulation for current research. In this paper, we show that the direction independence of the mean Landsberg tensor implies the vanishing of these tensor.https://jfga.uma.ac.ir/article_2879_e1420ea13a04ee23a980e1320c004ad2.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501Characteristics of T--conformal mappings97114289510.22098/jfga.2024.14548.1115ENMehran AminianDepartment of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, Iran0000-0003-4768-3884Mehran NamjooDepartment of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, Iran0000-0001-5949-6766Journal Article20240130In this paper, we introduce the notion of T-conformal transformations and T-conformal maps between Riemannian manifolds. Here, T stands for a smooth (1,1)-tensor field defined on the domain of these maps. We start by defining what it means for a map to be T-conformal and also dwell on some basic properties of such type maps. We next specialize our discussion to the situation when the map T satisfies the condition ∇T = 0. Accordingly, we prove Liouville's theorem for T-conformal maps between space forms R<sup>n</sup>(c) as an application under the condition ∇T = 0. The proof relies upon properties of T-conformal maps proved earlier. Broadly, the paper seeks to provide a general understanding of conformal mappings in the presence of a tensor field T and show how classical results such as Liouville's theorem apply.https://jfga.uma.ac.ir/article_2895_5fde2a63fa8a158e80223b694e03d6ae.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501On projective Riemann quadratic (PR-quadratic) Finsler metrics115126289610.22098/jfga.2024.14815.1122ENNasrin SadeghzadehDepartment of Mathematics, Faculty of Science, University of Qom, Qom. IranJournal Article20240316This paper focuses on Projective Riemann quadratic (PR-quadratic) Finsler metrics, which are a variant of the Finsler metric in Finsler geometry. The paper introduces a special class of PR-quadratic Finsler metrics, called SPR-quadratic Finsler metrics, which is closed under projective changes with respect to a fixed volume form on M. This class contains the class of Douglas-Weyl metrics and is a subset of the class of Weyl metrics. The paper shows that any SPR-quadratic Finsler metric has a scalar flag curvature and a PR-quadratic Finsler metric has a scalar curvature if and only if it is of SPR-quadratic type. The results presented in this paper contribute to a deeper understanding of the behavior of PR-quadratic Finsler metrics and provide insights into the geometric properties of these metrics.https://jfga.uma.ac.ir/article_2896_9b93bec36463f755b9bc9014e678cf0f.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501On C3-like Finsler spaces of relatively isotropic mean Landsberg curvature127134293810.22098/jfga.2024.14877.1125ENMaryam MirzazadehDepartment of Mathematics, Faculty of Science, University of Qom, Qom, IranJournal Article20240407In this paper, we study the class of C3-like Finsler metrics with relatively isotropic mean Landsberg. We find some conditions under which these metrics reduce to relatively isotropic Landsberg metricshttps://jfga.uma.ac.ir/article_2938_fb3cb5e1822ee7ddf55d81ebaf7705bc.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05005120240501Some rigidity results on homogeneous Finsler spaces equipped with Killing frames135143293910.22098/jfga.2024.14829.1123ENMohammad ZamanzadehDepartment of Mathematics, Bijar Branch, Islamic Azad University, Bijar, IranAkbar SadighiDepartment of Mathematics,
Tabriz Branch, Islamic Azad University,
Tabriz, IranJournal Article20240320Utilizing Killing frames on homogeneous Finsler manifolds, we express the Berwald and mean Berwald curvatures in terms of Killing frames and get some rigidity results among them we prove that homogeneous isotropic weakly Berwald metrics reduce to weakly Berwald metric.https://jfga.uma.ac.ir/article_2939_4827207b9ed575c6ec35b5bab28f2ecf.pdf