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math.CV2005★ 3 cited
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…
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 -norm of the Weyl curvature of closed Riemannian 4-manifolds. The same bounds were obtained by Gursky, in t…