Heat diffusions on holomorphic foliations with non-degenerate singularities

Abstract

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.

12 pages

References in corpus (2)

• Ergodic theorems for laminations and foliations: recent results and perspectives
• Poincaré metric of holomorphic foliations with non-degenerate singularities

Cited by in corpus (2)

• Hyperbolic entropy for harmonic measures on singular holomorphic foliations
• Finiteness of hyperbolic entropy for holomorphic foliations with non-degenerate singularities