A. Bhattacharya

most citedSome Unstable Critical Metrics for

L^{\frac{n}{2}}

-norm of the Curvature Tensor

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math.DG2018

Stability of Quadratic curvature Functionals at product Einstein manifolds

Atreyee Bhattacharya, Soma Maity

In this paper, we study Riemannian functionals defined by $L^{2}$ -norms of Ricci curvature, scalar curvature, Weyl curvature, and Riemannian curvature. We try to understand stability…

math.DG2012★ 1 cited

Some Unstable Critical Metrics for $L^{\frac{n}{2}}$ -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 $M$ given by $\mathcal{R}_{\frac{n}{2}}(g):= \int_M |R…

math.DG2012

A gap theorem for Ricci-flat 4-manifolds

Atreyee Bhattacharya, Harish Seshadri

Let $(M, g)$ be a compact Ricci-flat 4-manifold. For $p \in M$ let $K_{ma x} (p)$ (respectively $K_{min} (p)$ ) denote the maximum (respectively the minimum) of sectional curvatures at…

Stability of Quadratic curvature Functionals at product Einstein manifolds

Some Unstable Critical Metrics for L2n​-norm of the Curvature Tensor

A gap theorem for Ricci-flat 4-manifolds

Some Unstable Critical Metrics for $L^{\frac{n}{2}}$ -norm of the Curvature Tensor