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math.DG2024
Distance from a Finsler Submanifold to its Cut Locus and the Existence of a Tubular Neighborhood
Aritra Bhowmick, Sachchidanand Prasad
In this article we prove that for a closed, not necessarily compact, submanifold of a possibly non-complete Finsler manifold , the cut time map is always positive. As a…
math.DG2024
On the Focal Locus of Submanifolds of a Finsler Manifold
Aritra Bhowmick, Sachchidanand Prasad
In this article, we investigate the focal locus of closed (not necessarily compact) submanifolds in a forward complete Finsler manifold. The main goal is to show that the associate…
math.AT2024
On the generalized brace product: relation to -splitting of loop space fibrations \& the -homomorphism
Somnath Basu, Aritra Bhowmick, Sandip Samanta
Given a fibration with a homotopy section , James introduced a binary product $\left\{, \right\}_s: π_i B \times π_j F \righ…