1 citations · 1 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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…