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The affine approach to homogeneous geodesics in homogeneous Finsler spaces

Zdeněk Dušek (2018)

Archivum Mathematicum

In the recent paper [Yan, Z.: Existence of homogeneous geodesics on homogeneous Finsler spaces of odd dimension, Monatsh. Math. 182,1, 165–171 (2017)], it was claimed that any homogeneous Finsler space of odd dimension admits a homogeneous geodesic through any point. However, the proof contains a serious gap. The situation is a bit delicate, because the statement is correct. In the present paper, the incorrect part in this proof is indicated. Further, it is shown that homogeneous geodesics in homogeneous...

The concept of invariant geometry of second order.

Păun, Marius (2002)

Balkan Journal of Geometry and its Applications (BJGA)

The Critical Points Theory for the Closed Geodesics Problem.

Francesco Mercuri (1977)

Mathematische Zeitschrift

The curvature theory of generalized connection in $O s c^{2} M$ .

Čomić, Irena (1996)

Balkan Journal of Geometry and its Applications (BJGA)

The explicit construction of Einstein Finsler metrics with non-constant flag curvature.

Guo, Enli, Mo, Xiaohuan, Zhang, Xianqiang (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.

Neagu, Mircea (2002)

International Journal of Mathematics and Mathematical Sciences

The homogeneous lift $\overset{*}{G}$ on the cotangent bundle.

Stavre, Petre, Popescu, Liviu (2002)

Novi Sad Journal of Mathematics

The Induced Connections on the Subspaces in Miron's Osckm

Irena Čomić, Gabrijela Grujić, Jelena Stojanov (2004)

Publications de l'Institut Mathématique

The Jacobi fields for a spray on the tangent bundle.

Bucataru, Ioan (1999)

Novi Sad Journal of Mathematics

The $L$ -dual of an $(α, β)$ Finsler space of order two.

Masca, Ioana Monica, Sabau, Vasile Sorin, Shimada, Hideo (2007)

Balkan Journal of Geometry and its Applications (BJGA)

The relation between the associate almost complex structure to $H M^{'}$ and $(H M^{'}, S, T)$ -Cartan connections.

Esrafilian, Ebrahim, Salimi Moghaddam, Hamid Reza (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

The rigidity theorem for Landsberg hypersurfaces of a Minkowski space

Jin Tang Li (2012)

Annales Polonici Mathematici

Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space $(V^{n + 1}, F ̅)$ with constant mean curvature H. Using the Gauss formula for the Chern connection of Finsler submanifolds, we prove that if M is convex, then M is Riemannian with constant curvature.

Currently displaying 1 – 19 of 19

Page 1

Displaying 1 – 19 of 19

The affine approach to homogeneous geodesics in homogeneous Finsler spaces

The concept of invariant geometry of second order.

The Critical Points Theory for the Closed Geodesics Problem.

The curvature theory of generalized connection in $O s c^{2} M$ .

The explicit construction of Einstein Finsler metrics with non-constant flag curvature.

The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.

The homogeneous lift $\overset{*}{G}$ on the cotangent bundle.

The Induced Connections on the Subspaces in Miron's Osckm

The Jacobi fields for a spray on the tangent bundle.

The $L$ -dual of an $(α, β)$ Finsler space of order two.

The relation between the associate almost complex structure to $H M^{'}$ and $(H M^{'}, S, T)$ -Cartan connections.

The rigidity theorem for Landsberg hypersurfaces of a Minkowski space

The $S$ -curvature of homogeneous $(α, β)$ -metrics.

The Scalar Curvature of the Tangent Bundle of a Finsler Manifold

Theory of conformally Berwald Finsler spaces and its applications to $(α, β)$ -metrics.

Theory of the zero order effect suitable to investigate the space-time geometrical properties.

Tores finslériens sans points conjugués

Transformations infinitésimales conformes des variétés finslériennes compactes

Tzitzeica figuratrices in Hamilton geometry.

Currently displaying 1 – 19 of 19