5 papers · 1 filter
A Study of topology of the Flip Stiefel Manifolds
Samik Basu, Safikaa Fathima, Shilpa Gondhali
A well known quotient of the real Stiefel manifold is the projective Stiefel manifold. We introduce a new family of quotients of the real Stiefel manifold by cyclic group of order…
-local decompositions of projective Stiefel manifolds
Samik Basu, Debanil Dasgupta, Shilpa Gondhali +1
The main objective of this paper is to analyze the -local homotopy type of the complex projective Stiefel manifolds, and other analogous quotients of Stiefel manifolds. We take…
Higher Toda brackets and Massey products
Hans-Joachim Baues, David Blanc, Shilpa Gondhali
We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and chain complexes and Ma…
Vector fields on right generalized complex projective Stiefel manifolds
Shilpa Gondhali, B. Subhash
The question of paralleizability and stable parallelizability of a family of manifolds obtained as a quotients of circle action on the complex Stiefel manifolds are studied and set…
Vector Fields on certain quotients of complex Stiefel manifolds
Shilpa Gondhali, Parameswaran Sankaran
We consider quotients of complex Stiefel manifolds by finite cyclic groups whose action is induced by the scalar multiplication on the corresponding complex vector space. We obtain…