4 citations · 6 across the 11 of their papers we have counts for
12 papers
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…
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 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…
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…
DGCLUSTER: A Neural Framework for Attributed Graph Clustering via Modularity Maximization
Aritra Bhowmick, Mert Kosan, Zexi Huang +2
Graph clustering is a fundamental and challenging task in the field of graph mining where the objective is to group the nodes into clusters taking into consideration the topology o…
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 to…
LipBaB: Computing exact Lipschitz constant of ReLU networks
Aritra Bhowmick, Meenakshi D'Souza, G. Srinivasa Raghavan
The Lipschitz constant of neural networks plays an important role in several contexts of deep learning ranging from robustness certification and regularization to stability analysi…
Existence of Horizontal Immersions in Fat Distributions
Aritra Bhowmick, Mahuya Datta
Contact structures, as well as their holomorphic and quaternionic counterparts are the primary examples of strongly bracket generating (or fat) distributions. In this article we as…
On Horizontal Immersions of Discs in Fat Distributions of Type
Aritra Bhowmick
In this article we discuss horizontal immersions of discs in certain corank- fat distributions on -dimensional manifolds. The underlying real distribution of a holomorphic co…
Stability of certain Engel-like Distributions
Aritra Bhowmick
In this article we introduce a higher dimensional analogue of Engel structure, motivated by the Cartan prolongation of contact manifolds. We study the stability of such structure,…