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math.DG2025
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…
math.DG2020★ 4 cited
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…
math.DG2015
Nambu Structures And Associated Bialgebroids
Samik Basu, Somnath Basu, Apurba Das +1
This paper investigates higher order generalizations of well known results for Lie algebroids and bialgebroids. It is proved that -Lie algebroid structures correspond to -ary…