38 citations · 80 across the 26 of their papers we have counts for
34 papers
On a construction of hermitian metrics on holomorphic vector bundles
Laszlo Lempert
With any holomorphic vector bundle over a compact base one can associate a line bundle, denoted . According to a conjecture of Griffiths, if admits a pos…
Ellipsoids in pseudoconvex domains II
Laszlo Lempert
We consider families of pseudoconvex domains parametrized by complex manifolds , and the maximal hermitian ellipsoids inscribed in each . The pap…
Ellipsoids in pseudoconvex domains
Laszlo Lempert
We consider the problem of maximizing the volume of hermitian ellipsoids inscribed in a given pseudoconvex domain in complex Euclidean space. We prove existence and uniqueness, and…
Two variational problems in Kähler geometry
Laszlo Lempert
On a Kähler manifold we consider the problems of maximizing/minimizing Monge--Ampère energy over certain subsets of the space of Kähler potentials. Under suitable assumptions we pr…
Aron--Berner--type extension in complex Banach manifolds
László Lempert
Let be a compact Hausdorff space and a complex manifold. We consider the space of continuous maps , and prove that any bounded holomorphic function on this…
To the geometry of spaces of plurisubharmonic functions on a Kähler manifold
László Lempert
Consider a compact Kähler manifold and the space of --plurisubharmonic functions of full Monge--Ampère mass on it. We introduce a quantity …