Title :

HEAT DIFFUSIONS ON HOLOMORPHIC FOLIATIONS WITH NON-DEGENERATE SINGULARITIES

Author(s) :

Bacher, François [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Journal of Geometric Analysis

Publication date :

2024

English keyword(s) :

Singular holomorphic foliation
Leafwise Poincaré metric
Heat diffusions
Directed positive harmonic current
Harmonic measure

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

Consider a Brody hyperbolic foliation with non-degenerate singularities on a compact complex manifold. We show that the leafwise heat diffusions and the abstract heat diffusions coincide. In particular, this will imply ...
Show more >Consider a Brody hyperbolic foliation with non-degenerate singularities on a compact complex manifold. We show that the leafwise heat diffusions and the abstract heat diffusions coincide. In particular, this will imply that the abstract heat diffusions are unique.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions
Quantisation, singularités et dynamique holomorphe

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL