3 papers
math.DG2026
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…
math.DG2026
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 for…
math.DG2025
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 c…