8 citations · 35 across the 10 of their papers we have counts for
10 papers
Equivariant self-homotopy equivalences of product spaces
Gopal Chandra Dutta, Debasis Sen, Ajay Singh Thakur
Let G be a finite group. We study the group of G-equivariant self-homotopy equivalences of product of G-spaces. For a product of n-spaces, we represent it as product of n-subgroups…
On Stiefel-Whitney classes of vector bundles over real Stiefel Manifolds
Prateep Chakraborty, Ajay Singh Thakur
In this article we show that there are at most two integers up to , which can occur as the degrees of nonzero Stiefel-Whitney classes of vector bundles over the Stiefel man…
Group actions, non-Kähler complex manifolds and SKT structures
Mainak Poddar, Ajay Singh Thakur
We give a construction of integrable complex structures on the total space of a smooth principal bundle over a complex manifold, with an even dimensional compact Lie group as struc…
Nonexistence of Almost Complex Structures on the product
Prateep Chakraborty, Ajay Singh Thakur
In this note we give a necessary condition for having an almost complex structure on the product , where is a connected orientable closed manifold. We show tha…
On trivialities of Chern classes
Aniruddha C. Naolekar, Ajay Singh Thakur
A finite -complex is -trivial if for every complex vector bundle over , the total Chern class . In this note we completely determine when each of the foll…
Vector bundles over iterated suspensions of stunted real projective spaces
Aniruddha C. Naolekar, Ajay Singh Thakur
Let . In this note we completely determine the values of for which the total Stiefel-Whitney class for a…
On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds
Ajay Singh Thakur
A space is called -trivial if for every vector bundle over , the total Stiefel-Whitney class . In this article we shall investigate whether the suspensions o…
Characteristic rank of vector bundles over Stiefel manifolds
Július Korbaš, Aniruddha C. Naolekar, Ajay Singh Thakur
The characteristic rank of a vector bundle over a finite connected -complex is by definition the largest integer , , such that every coh…
Note on the Characteristic rank of Vector bundles
Aniruddha C. Naolekar, Ajay Singh Thakur
We define the notion of characteristic rank, , of a real vector bundle over a connected finite -complex . This is a bundle-dependent version of t…
Complex structures on product of circle bundles over complex manifolds
Parameswaran Sankaran, Ajay Singh Thakur
Let $\bar{L}_i\lr X_i$ be a holomorphic line bundle over a compact complex manifold for . Let denote the associated principal circle-bundle with respect to some hermit…