Curvatures on Homogeneous Generalized Matsumoto Space
Open Access
- 9 March 2023
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 11 (6) , 1316
Abstract
The curvature characteristics of particular classes of Finsler spaces, such as homogeneous Finsler spaces, are one of the major issues in Finsler geometry. In this paper, we have obtained the expression for S-curvature in homogeneous Finsler space with a generalized Matsumoto metric and demonstrated that the homogeneous generalized Matsumoto space with isotropic S-curvature has to vanish the S-curvature. We have also derived the expression for the mean Berwald curvature by using the formula of S-curvature.Keywords
Funding Information
- Princess Nourah Bint Abdulrahman University (PNURSP2023R27)
This publication has 19 references indexed in Scilit:
- The S-curvature of homogeneous Randers spacesDifferential Geometry and its Applications, 2009
- Hypersurfaces of conformally and h-conformally related Finsler spacesActa Mathematica Hungarica, 2008
- On hypersurface of a Finsler space with a special metricActa Mathematica Hungarica, 2008
- On homogeneous Finsler spacesReports on Mathematical Physics, 2006
- The group of isometries of a Finsler spacePacific Journal of Mathematics, 2002
- Volume Comparison and Its Applications in Riemann–Finsler GeometryAdvances in Mathematics, 1997
- Theory of Finsler spaces with (α, β)-metricReports on Mathematical Physics, 1992
- Invariant Affine Connections on Homogeneous SpacesAmerican Journal of Mathematics, 1954
- On an Asymmetrical Metric in the Four-Space of General RelativityPhysical Review B, 1941
- The Group of Isometries of a Riemannian ManifoldAnnals of Mathematics, 1939