5 citations · 21 across the 31 of their papers we have counts for
35 papers
Positive bisectional curvature, Ricci mass, and the fundamental group
Ved Datar, Vamsi Pritham Pingali, Harish Seshadri
We prove the finiteness of the integral of the top power of the Ricci form on a complete, noncompact Kähler manifold with positive bisectional curvature. This settles a special cas…
The optimal diameter estimate for positive Yamabe metrics
Kazuo Akutagawa, Mijia Lai, Chao Li +2
In this paper, we prove the optimal diameter estimate for positive Yamabe metrics on a connected, closed manifold. It is a scalar curvature version of both classical Myers' diamete…
The top Yau--Yang conjecture for Kähler manifolds with positive sectional curvature
Ved V. Datar, Vamsi P. Pingali, Harish Seshadri
We prove that the top wedge power of the Ricci form of a complete non-compact Kähler manifold with positive sectional curvature has finite integral. Using a result of Chen-Zhu, an…
Uniformisation of complete Kähler surfaces with positive sectional curvature
Ved Datar, Vamsi Pritham Pingali, Harish Seshadri
We prove that any complete non-compact Kähler surface with positive sectional curvature is biholomorphic to , establishing the two dimensional case of the weaker form…
The complex Monge-Ampere equation and an application to uniformisation of surfaces
Ved Datar, Vamsi Pritham Pingali, Harish Seshadri
We prove that a complete noncompact Kähler surface with positive and bounded sectional curvature is biholomorphic to . This result confirms a special case of Yau's co…
Diameter rigidity for Kahler manifolds with positive bisectional curvature
Ved Datar, Harish Seshadri
We prove that a Kahler manifold with positive bisectional curvature and maximal diameter is isometric to the complex projective space with the Fubini-Study metric.