Some general Finsler connections are defined. Emphasis is being made on the Cartan tensor and its derivatives. Vanishing of the hv-curvature tensors of these connections characterizes Landsbergian, Berwaldian as well as Riemannian structures. This view point makes it possible to give a smart representation of connectio…
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6 results for “Landsbergian”
The paper explores conditions for Finsler surfaces to be Landsbergian and classify surfaces with specific flag curvature conditions.
problem Conditions for Finsler surfaces to be Landsbergian and classify surfaces with specific flag curvature conditions.
method Investigates geometric objects associated with the global Berwald distribution and studies Finsler surfaces satisfying certain flag curvature conditions.
result Classifies Finsler surfaces with specific flag curvature conditions and shows they are Riemannian under certain conditions.
In this paper, we consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian…
The paper classifies Finsler surfaces satisfying the T-condition or σT-condition.
problem Characterizing Finsler surfaces based on specific tensor conditions.
method Analyzing Finsler surfaces in dimensions n≥3, proving conditions equivalence, and solving PDEs.
result All Finsler surfaces satisfying the T-condition or σT-condition are classified.
Study on generalized -Kropina metrics in modified gravity and cosmology.
problem Understanding the geometric properties and applications of generalized -Kropina metrics.
method Proving the rationality of Finslerian geometric objects and studying the conditions for Einstein metrics.
result Conditions for a generalized -Kropina metric to be an exact solution in modified gravity and cosmology.
Geodesic sprays on Finsler manifolds studied with covariant coefficients.
problem Understanding geometric properties of Finsler metrics through covariant coefficients.
method Introduced -covariant coefficients and studied their geometric consequences.
result Existence and uniqueness of spray scalar for projectively flat metrics.