Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains

Abstract

We study the boundary behavior of the Kobayashi--Fuks metric on the class of h-extendible domains. Here, we derive the non-tangential boundary asymptotics of the Kobayashi--Fuks metric and its Riemannian volume element by the help of some maximal domain functions and then using their stability results on h-extendible local models.

Journal added

References in corpus (2)

• Some remarks on the Kobayashi--Fuks metric on strongly pseudoconvex domains
• Existence of geodesic spirals for the Kobayashi--Fuks metric on planar domains