13 citations · 23 across the 10 of their papers we have counts for
10 papers
On manifolds homeomorphic to spheres
Somnath Basu, Sachchidanand Prasad
We prove a result analogous to Reeb's theorem in the context of Morse-Bott functions: if a closed, smooth manifold admits a Morse-Bott function having two critical submanifolds…
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 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…
Cut Locus of Submanifolds: A Geometric and Topological Viewpoint
Sachchidanand Prasad
Associated to every closed, embedded submanifold of a connected Riemannian manifold , there is the distance function which measures the distance of a point in from…
Independence complexes of wedge of graphs
Navnath Daundkar, Saikat Panja, Sachchidanand Prasad
In this article, we introduce the notion of a wedge of graphs and provide detailed computations for the independence complex of a wedge of path and cycle graphs. In particular, we…
The image of polynomials and Waring type problems on upper triangular matrix algebras
Saikat Panja, Sachchidanand Prasad
Let be a polynomial in non-commutative variables with constant term zero over an algebraically closed field . The object of study in this paper is the i…
Counterexample to a conjecture about dihedral quandle
Saikat Panja, Sachchidanand Prasad
It was conjectured that the augmentation ideal of a dihedral quandle of even order satisfies for all . In this article we…
A connection between cut locus, Thom space and Morse-Bott functions
Somnath Basu, Sachchidanand Prasad
Associated to every closed, embedded submanifold in a connected Riemannian manifold , there is the distance function which measures the distance of a point in from…