4 citations · 6 across the 11 of their papers we have counts for
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Regularity of Kobayashi metric
Giorgio Patrizio, Andrea Spiro
We review some recent results on existence and regularity of Monge-Ampère exhaustions on the smoothly bounded strongly pseudoconvex domains, which admit at least one such exhaustio…
Propagation of regularity for Monge-Ampère exhaustions and Kobayashi metrics
Giorgio Patrizio, Andrea Spiro
We prove that if a smoothly bounded strongly pseudoconvex domain , , admits at least one Monge-Ampère exhaustion smooth up to the boundary (i.e. a…
Monge-Ampère exhaustions of almost homogeneous manifolds
Morris Kalka, Giorgio Patrizio, Andrea Spiro
We consider three fundamental classes of compact almost homogeneous manifolds and show that the complements of singular complex orbits in such manifolds are endowed with plurisubha…
Splitting Parabolic Manifolds
Morris Kalka, Giorgio Patrizio
We study the geometric properties of complex manifolds possessing a pair of plurisubharmonic functions satisfying Monge-Ampère type of condition. The results are applied to charact…
Modular data and regularity of Monge-Ampère exhaustions and of Kobayashi distance
Giorgio Patrizio, Andrea Spiro
Regularity properties of intrinsic objects for a large class of Stein Manifolds, namely of Monge-Ampère exhaustions and Kobayashi distance, is interpreted in terms of modular data.…
Locally Monge-Ampere Foliations
Morris Kalka, Giorgio Patrizio
It is shown that codimension one parabolic foliations of complex manifolds are holomorphic. This is proved using the fact that codimension one foliations of complex manifolds are n…