Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Characterization of Finsler Space with Rander’s-Type Exponential-Form Metric
View through CrossRef
This study explores a unique Finsler space with a Rander’s-type exponential metric, G(α,β)=(α+β)eβ(α+β), where α is a Riemannian metric and β is a 1-form. We analyze the conditions under which its hypersurfaces behave like hyperplanes of the first, second, and third kinds. Additionally, we examine the reducibility of the Cartan tensor C for these hypersurfaces, providing insights into their geometric structure.
Title: Characterization of Finsler Space with Rander’s-Type Exponential-Form Metric
Description:
This study explores a unique Finsler space with a Rander’s-type exponential metric, G(α,β)=(α+β)eβ(α+β), where α is a Riemannian metric and β is a 1-form.
We analyze the conditions under which its hypersurfaces behave like hyperplanes of the first, second, and third kinds.
Additionally, we examine the reducibility of the Cartan tensor C for these hypersurfaces, providing insights into their geometric structure.
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...
A comparative study of mappings in metric space and controlled metric space
A comparative study of mappings in metric space and controlled metric space
The objective of this paper is to present a comparative study of mapping in Metric Space and Controlled Metric Space. The study provides the structure, gap analysis and application...
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 ...
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 ...
Concerning Fuzzy b-Metric Spaces †
Concerning Fuzzy b-Metric Spaces †
In an article published in 2015, Hussain et al. introduced a notion of a fuzzy b-metric space and obtained some fixed point theorems for this kind of space. Shortly thereafter, Năd...
Riemannian Curvature of a Sliced Contact Metric Manifold
Riemannian Curvature of a Sliced Contact Metric Manifold
Contact geometry become a more important issue in the mathematical world with the works which had done in the 19th century. Many mathematicians have made studies on contact manifol...
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...
Expansion mapping in controlled metric space and extended B-metric space
Expansion mapping in controlled metric space and extended B-metric space
This paper delves into the intricate study of expansion mappings within the frameworks of controlled metric spaces and extended B-metric spaces. Expansion mappings, known for their...