6 papers · 1 filter
Stability of the Injectivity Radius and the Cut Locus of Submanifolds under Perturbations
Aritra Bhowmick
The continuity of the injectivity radius of a compact manifold under perturbation of the Riemannian metric was originally proved by P. Ehrlich (Composito Math., 1974), and la…
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…
Hausdorff Stability of the Cut Locus Under -Perturbations of the Metric
Aritra Bhowmick, Jin-ichi Itoh, Sachchidanand Prasad
In this article, we prove the stability with respect to the Hausdorff metric of the cut locus of a point in a compact Riemannian manifold…
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…
On the Cut Locus of Submanifolds of a Finsler Manifold
Aritra Bhowmick, Sachchidanand Prasad
In this article, we investigate the cut locus of closed (not necessarily compact) submanifolds in a forward complete Finsler manifold. We explore the deformation and characterizati…
The -Principle for Maps Transverse to Bracket-Generating Distributions
Aritra Bhowmick
Given a smooth bracket-generating distribution of constant growth on a manifold , we prove that maps from an arbitrary manifold to , which are transverse t…