18 citations · 40 across the 14 of their papers we have counts for
17 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…
Volume comparison and rigidity for positive holomorphic sectional curvature
Ved Datar, Harish Seshadri
We prove that the volume of a compact connected Kähler manifold with holomorphic sectional curvature at least 2 is bounded above by the volume of the Fubini-Study metric of constan…
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…
Minimal slopes and bubbling for complex Hessian equations
Ved Datar, Ramesh Mete, Jian Song
The existence of smooth solutions to a broad class of complex Hessian equations is related to nonlinear Nakai type criteria on intersection numbers on Kahler manifolds. Such a Naka…