16 citations · 16 across the 3 of their papers we have counts for
6 papers · 1 filter
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.
Metric rigidity of Kahler manifolds with lower Ricci bounds and almost maximal volume
Ved Datar, Harish Seshadri, Jian Song
In this short note we prove that a Kahler manifold with lower Ricci curvature bound and almost maximal volume is Gromov-Hausdorff close to the projective space with the Fubini-Stud…
On coupled constant scalar curvature Kähler metrics
Ved V. Datar, Vamsi Pritham Pingali
We provide a moment map interpretation for the coupled Kähler-Einstein equations introduced by Hultgren and Witt Nyström, and in the process introduce a more general system of equa…
Adiabatic limits of anti-self-dual connections on collapsed K3 surfaces
Ved Datar, Adam Jacob, Yuguang Zhang
We prove a convergence result for a family of Yang-Mills connections over an elliptic surface as the fibers collapse. In particular, assume is projective, admits a sec…
Expansions of solutions to extremal metric type equations on blow-ups of cscK surfaces
Ved V. Datar
The aim of this article is to study expansions of solutions to an extremal metric type equation on the blow-up of constant scalar curvature Kähler surfaces. This is related to find…
Kähler-Einstein metrics along the smooth continuity method
Ved Datar, Gábor Székelyhidi
We show that if a Fano manifold is K-stable with respect to special degenerations equivariant under a compact group of automorphisms, then admits a Kähler-Einstein metric.…