3 citations · 3 across the 3 of their papers we have counts for
4 papers
On the holomorphicity of isometries of intrinsic metrics in complex analysis
Harish Seshadri, Kaushal Verma
Let $\1$ and $\2$ be $\s$ domains in $\Cn$ and $f: \1 \rt \2$ an isometry for the Kobayashi or Carathéodory metrics. Suppose that extends as a map to $ \bar \om_1$. We th…
Weyl curvature and the Euler characteristic in dimension four
Harish Seshadri
We give lower bounds, in terms of the Euler characteristic, for the -norm of the Weyl curvature of closed Riemannian 4-manifolds. The same bounds were obtained by Gursky, in t…
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.
The Weyl functional near the Yamabe invariant
Kazuo Akutagawa, Boris Botvinnik, Osamu Kobayashi +1
For a compact manifold of , we study two conformal invariants of a conformal class on . These are the Yamabe constant and the …