1 citations · 1 across the 6 of their papers we have counts for
6 papers
On Certain Rigidity Results of Compact Regular -Manifolds
Sannidhi Alape, Atreyee Bhattacharya, Dheeraj Kulkarni
In this article, we investigate the Riemannian and semi-Riemannian metrics on the base space of the Boothby-Wang fibration of a closed regular non-Sasakian -manifold. To th…
Stability of Quadratic curvature Functionals at product Einstein manifolds
Atreyee Bhattacharya, Soma Maity
In this paper, we study Riemannian functionals defined by -norms of Ricci curvature, scalar curvature, Weyl curvature, and Riemannian curvature. We try to understand stability…
Geometric realizations of cyclic actions on surfaces -- II
Atreyee Bhattacharya, Shiv Parsad, Kashyap Rajeevsarathy
Let denote the mapping class group of the closed orientable surface of genus . Given a finite subgroup of , let $\mathrm{F…
On the Curvature ODE associated to the Ricci flow
Atreyee Bhattacharya
In the vector space of algebraic curvature operators we study the reaction ODE $$\frac{dR}{dt} = R^2+R^{#}= Q(R)$$ which is associated to the evolution equation of the Riemann curv…
Some Unstable Critical Metrics for -norm of the Curvature Tensor
Atreyee Bhattacharya, Soma Maity
We consider the Riemannian functional defined on the space of Riemannian metrics with unit volume on a closed smooth manifold given by $\mathcal{R}_{\frac{n}{2}}(g):= \int_M |R…
A gap theorem for Ricci-flat 4-manifolds
Atreyee Bhattacharya, Harish Seshadri
Let be a compact Ricci-flat 4-manifold. For let (respectively ) denote the maximum (respectively the minimum) of sectional curvatures at…