University of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201On conformal change of projective Ricci curvature of Kropina metrics113136410.22098/jfga.2021.1364ENBahman RezaeiDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. b.rezaei@urmia.ac.irSamaneh JaliliDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. s.jalili@urmia.ac.irLaya GhasemnezhadDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. l.ghasemnezhad@urmia.ac.irJournal Article20210722In this paper, we study and investigate the conformal change of projective Ricci curvature of Kropina metrics. Let F and F<sup>˜</sup> be two conformally related Kropina metrics on a manifold M. We prove that PRic˜= PRic if and only if the conformal transformation is a homothety.https://jfga.uma.ac.ir/article_1364_20471500855193806d6c3a7a1c8ded9b.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201On pseudoconvex functions in Riemanian manifolds1422136510.22098/jfga.2021.1365ENAli BaraniDepartment of Mathematics, Faculty of Science, Lorestan University, Khorramabad, Iran. barani.a@lu.ac.irJournal Article20210813In this paper relation between pseudoconvex and quasi convex functions is introduced in the context of Riemannian manifolds. In this setting first order characterization of pseudoconvex (strongly pseudoconvex) functions is obtained.https://jfga.uma.ac.ir/article_1365_b2e8c20845876324208684fa910bea1d.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201Some properties of Sasaki metric on tangent bundle of Finsler manifold2342136610.22098/jfga.2021.1366ENZohre RaeiDepartment of Mathematics,
University of Mohaghegh Ardabili,
Ardabil, Iran. raei.zohre@gmail.comJournal Article20210814Let (M,F) be a Finsler manifold and G be the Sasaki-Finsler metric on TM<sup>∼</sup>. In this paper, we investigate some properties of Sasaki-Finsler metric which is pure with respect to some paracomplex structures on TM<sup>∼</sup>. Also, we show that the curvature tensor field of the Levi-Civita connection on (TM,G) is recurrent or pseudo symmetric if and only if (M,F) is locally Eulidean or locally Minkowski space.https://jfga.uma.ac.ir/article_1366_cc9cbc090b962626fefa12e857fc922c.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201A new non-Riemannian curvature related to the class of (α, β)-metrics4353136710.22098/jfga.2021.1367ENAli Haji-BadaliDepartment of Mathematics, Basic Sciences Faculty
University of Bonab, Bonab 5551395133, Iran.
haji.badali@ubonab.ac.ir0000-0001-5309-5902Jila MajidiDepartment of Mathematics, Basic Sciences Faculty
University of Bonab, Bonab 5551395133, Iran. majidi.majidi.2020@gmail.com0000-0003-0261-7904Journal Article20210827In this paper, we find a new non-Riemannian quantity for (α, β)-metrics that is closely related to the <strong>S</strong>-curvature. We call it the <strong>S˜</strong>-curvature. Then, we show that an (α, β)-metric is Riemannian if and only if <strong>S˜</strong>=0. For a Randers metric, we find the relation between <strong>S</strong>-curvature and <strong>S<sup>∼</sup></strong>-curvature<strong>.</strong>https://jfga.uma.ac.ir/article_1367_3fdf77d736de3095a1b3fa304588b54d.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201Superconnections and distributions5465136810.22098/jfga.2021.1368ENEsmaeil AzizpourDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. eazizpour@guilan.ac.ir0000-0003-1823-289XDordi Mohammad AtayiDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. dmatayi68@gmail.comJournal Article20210817The use of a distribution D allows the presence of geometric structures such as almost product structure, so that the equivalent of these structures can be seen in tangent supermanifolds. We define associated adapted linear superconnections and find all linear superconnections on the supermanifold M adapted to D.https://jfga.uma.ac.ir/article_1368_ae16e0c03683c4547ff2625a006bd2bb.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201S-Curvature of left invariant Randers metrics on some simple Lie groups6676136910.22098/jfga.2021.1369ENHossein Abedi KarimiDepartment of Mathematics,
Isfahan University of Technology, Isfahan, 84156-83111-Iran. hossein.abedikarimi@gmail.comJournal Article20210821In this paper we study the Riemannian geometry of simple Lie groups SO(3,R), SL(2,R) and SO(1,3), equipped with a left invariant Riemannian metric. We consider left invariant Randers metrics induced by these left invariant Riemannian metrics. Then, in each case, we obtain the S-curvature and show that although these Randers metrics are not of Berwald or Douglas type but in the case of SO(3,R) it is of almost isotropic S-curvature. Finally, we give the S-curvature of left invariant Randers metrics on four-dimensional Einstein Lie groups.https://jfga.uma.ac.ir/article_1369_5baec535882f158e3d98872493c5cacf.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201Funk-type Finsler metrics7788137010.22098/jfga.2021.1370ENHassan SadeghiDepartment of Mathematics, Faculty of Science,
University of Qom, Qom, Iran.
sadeghihassan64@gmail.comJournal Article20210901In this paper, we introduce a class of Finsler metrics with interesting curvature properties. Then we find necessary and sufficient condition under which these Finsler metrics are locally dually flat and Douglas metrics.https://jfga.uma.ac.ir/article_1370_6fa1080637826f67ba06e3264da14efc.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201On conformally ﬂat square-root (α,β)-metrics89102137110.22098/jfga.2021.9503.1049ENPiscoran Laurian-IoanDepartment of Mathematics and Computer Science, Victoriei 76
North University, Center of Baia Mare, Technical University of Cluj Napoca,
430122 Baia Mare, Romania.
Laurian.PISCORAN@mi.utcluj.roMarzeiya AminiDepartment of Mathematics, Faculty of science, University of Qom, Iran.
marzeia.amini@gmail.comJournal Article20210902Let F = √α(α + β) be a conformally ﬂat square-root (α; β)-metric on a manifold M of dimension n ≥ 3, where α = √aij(x)yiyj is a Riemannian metric and β = bi(x)yi is a 1-form on M. Suppose that F has relatively isotropic mean Landsberg curvature. We show that F reduces to a Riemannian<br />metric or a locally Minkowski metric.https://jfga.uma.ac.ir/article_1371_eddf0cabe16c832ee286e100ffce8ea3.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201IFPHP transformations on the tangent bundle with the deformed complete lift metric103113137210.22098/jfga.2021.9516.1050ENMosayeb ZohrehvandDepartment of Mathematical Science and Statistics, Malayer University, Malayer, Iran. m.zohrehvand@malayeru.ac.ir0000-0002-3876-4060Journal Article20210905Let (M<sup>n</sup>,g) be a Riemannian manifold and TM its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving paraholomorphically projective (IFPHP) transformations on TMwith respect to the Levi-Civita connection the deformed complete lift metric G=g<sup>C</sup>+(fg)<sup>V</sup>, where f is a nonzero differentiable function on M<sup>n</sup> and g<sup>C</sup> and g<sup>V</sup> are the complete lift and the vertical lift of g on TM, respectively. Also, the infinitesimal complete lift, horizontal lift and vertical lift paraholomorphically projective transformations on (TM,G<sub>f</sub>) are studied.https://jfga.uma.ac.ir/article_1372_0cd7cff3674895b09daa19a91e485be3.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201On conformal vector fields on Einstein Finsler manifolds114121137310.22098/jfga.2021.1373ENSamaneh SaberaliSchool of Mathematics, Institute for Research in Fundamental Sciences
(IPM), Niavaran Bldg., Niavaran Square,
Tehran, P.O. Box: 19395-5746, Iran.
samanehsaberali@gmail.comJournal Article20210912In this paper, we study conformal vector fields on Finsler manifolds. Let (M,g) be an Einstein-Finsler manifold of dimension n ≥ 2. Suppose that V is conformal vector field on M. We show that V is a concircular vector field.https://jfga.uma.ac.ir/article_1373_9e51bf46e8a8a12b7a5418f101dc1def.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201Dually flat Finsler spaces with transformed metrics122133137410.22098/jfga.2021.9589.1052ENSarita RaniDepartment of Mathematics and Statistics, Central University of Punjab, VPO: Ghudda-151401, Bathinda, India. saritas.ss92@gmail.com0000-0002-7908-3106Gauree ShankerDepartment of Mathematics and Statistics,
Central University of Punjab, VPO: Ghudda, Bathinda-151401, Punjab, India. grshnkr2007@gmail.comKirandeep KaurDepartment of Mathematics,
Punjabi University College Ghudda, Bathinda-151 001, Punjab, India. kiran5iitd@yahoo.comJournal Article20210922Current paper deals with the property of dually flatness of Finsler spaces with some special (α,β )-metrics constructed via Randers-β change. Here, we find necessary and sufficient conditions under which these (α,β )-metrics are locally dually flat. Finally, we conclude the relationship between locally dully flatness of these Randers-β change of Finsler metrics.https://jfga.uma.ac.ir/article_1374_7e261f177dc18e3cb63afff24c87c23e.pdfUniversity of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201Conformal vector fields of square Finsler metrics134143137510.22098/jfga.2021.9614.1053ENNatesh Netaganata NateshDepartment of Mathematics, Government Science College
Chitradurga - 577501, India.
nateshmaths@gmail.comJournal Article20210929In this paper, we study the conformal vector fields of Finsler space with the special metric, known as Z. Shen's Square metric. Further we defined the special metric in Riemannian metric α and 1-form β and its norm. Then we characterize the PDE's of conformal vector fields on special metric.https://jfga.uma.ac.ir/article_1375_b4cb2a5d97d413b84ed0d294e92ada22.pdf