26 citations · 59 across the 27 of their papers we have counts for
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Existence of coupled Kähler-Einstein metrics using the continuity method
Vamsi Pritham Pingali
In this paper we prove the existence of coupled Kähler-Einstein metrics on complex manifolds whose canonical bundle is ample. These metrics were introduced and their existence in t…
Representability of Chern-Weil forms
Vamsi Pritham Pingali
In this paper we look at two naturally occurring situations where the following question arises. When one can find a metric so that a Chern-Weil form can be represented by a given…
A note on higher extremal metrics
Vamsi Pritham Pingali
In this paper we introduce higher extremal Kahler metrics. We provide an example of the same on a minimal ruled surface. We also prove a perturbation result that implies that there…
Gravitating vortices and the Einstein--Bogomol'nyi equations
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +1
In this work we consider the gravitating vortex equations. These equations couple a metric over a compact Riemann surface with a hermitian metric over a holomorphic line bundle equ…