H. Seshadri

activity

20022005

most citedOn the holomorphicity of isometries of intrinsic metrics in complex analysis

3 citations · 3 across the 3 of their papers we have counts for

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math.DG2005

Weyl curvature and the Euler characteristic in dimension four

Harish Seshadri

We give lower bounds, in terms of the Euler characteristic, for the $L^{2}$ -norm of the Weyl curvature of closed Riemannian 4-manifolds. The same bounds were obtained by Gursky, in t…

math.DG2003

A note on negative isotropic curvature

Harish Seshadri

We prove that any compact four-manifold admits a Riemannian metric with negative isotropic curvature in the sense of Micallef and Moore.

math.DG2002

The Weyl functional near the Yamabe invariant

Kazuo Akutagawa, Boris Botvinnik, Osamu Kobayashi +1

For a compact manifold $M$ of $dim M = n \geq 4$ , we study two conformal invariants of a conformal class $C$ on $M$ . These are the Yamabe constant $Y_{C} (M)$ and the $L^{\frac{n}{2}}$ …