Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On curvatures of homogeneous Finsler-Kropina space
View through CrossRef
In Finsler geometry, one of the central problem is to study curvature properties of special class of Finsler spaces such as homogeneous-Finsler spaces. In this paper, we give an explicit formula of the S-curvature of homogeneous Finsler space with Kropina metric and proved that a homogeneous Kropina space with almost isotropic S-curvature must have vanishing S-curvature. We also derived an explicit formula of the mean Berwald curvature Eij of homogeneous Finsler-Kropina space.
Vertex Academic Press
Title: On curvatures of homogeneous Finsler-Kropina space
Description:
In Finsler geometry, one of the central problem is to study curvature properties of special class of Finsler spaces such as homogeneous-Finsler spaces.
In this paper, we give an explicit formula of the S-curvature of homogeneous Finsler space with Kropina metric and proved that a homogeneous Kropina space with almost isotropic S-curvature must have vanishing S-curvature.
We also derived an explicit formula of the mean Berwald curvature Eij of homogeneous Finsler-Kropina space.
Related Results
Weakly conformal Finsler geometry
Weakly conformal Finsler geometry
An extension of conformal equivalence for Finsler metrics is introduced and called weakly conformal equivalence and is used to define the weakly conformal transformations. The conf...
Bounce Cosmology in Generalized Modified Gravities
Bounce Cosmology in Generalized Modified Gravities
We investigate the bounce realization in the framework of generalized modified gravities arising from Finsler and Finsler-like geometries. In particular, a richer intrinsic geometr...
Seditious Spaces
Seditious Spaces
The title ‘Seditious Spaces’ is derived from one aspect of Britain’s colonial legacy in Malaysia (formerly Malaya): the Sedition Act 1948. While colonial rule may seem like it was ...
Pseudo-Finsler Radially Symmetric Spaces
Pseudo-Finsler Radially Symmetric Spaces
We introduce the concept of radially symmetric pseudo-Finsler spaces, which generalize the notion of symmetric Finsler spaces, and prove that this concept is equivalent to the pres...
Boundary rigidity for Randers metrics
Boundary rigidity for Randers metrics
If a non-reversible Finsler norm is the sum of a reversible Finsler norm and a closed 1-form, then one can uniquely recover the 1-form up to potential fields from the bound...
ON SPECIAL FUNCTION CHANGE OF mth- ROOT FINSLER METRIC
ON SPECIAL FUNCTION CHANGE OF mth- ROOT FINSLER METRIC
In the present paper, we consider the special function change of mth
−
root Finsler metric. Firstly, we find the fundamental metric and then the necessary
and sufficient condition ...
Structure Properties and Fundamental Identities of Generalized R-Recurrent Finsler Manifolds
Structure Properties and Fundamental Identities of Generalized R-Recurrent Finsler Manifolds
In this paper, we introduce and investigate a new class of Finsler spaces, termed generalized \(R^h\)-recurrent Finsler spaces, denoted by \(F_n\) G \(R^h\) - R . These are define...
Space Safety through situational awareness
Space Safety through situational awareness
Space Situational Awareness (SSA) entails the detection, tracking, and comprehension of spaceborne objects and phenomena that could potentially affect Earth or space operations. It...