The space of convex domains in complex Euclidean space

In this mostly expository article, we describe some properties of the space of convex domains in complex Euclidean space (endowed with the local Hausdorff topology). In particular, we give careful proofs that the Kobayashi metric, the Bergman kernel/metric, and the Kähler–Einstein metric are all con...

Full description

Saved in:

Bibliographic Details
Published in:	The Journal of geometric analysis Vol. 30; no. 2; pp. 1312 - 1358
Main Authors:	Gaussier, Hervé, Zimmer, Andrew
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2020 Springer Nature B.V Springer
Subjects:	Abstract Harmonic Analysis an Important Tool in Several Complex Variables Automorphisms Closures Convex and Discrete Geometry Differential Geometry Domains Dynamical Systems and Ergodic Theory Euclidean geometry Euclidean space Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Invariant Metrics Mathematics Mathematics and Statistics Topology Invariant metrics and pseudodistances Convex domains 32F17 Primary 32F45
ISSN:	1050-6926, 1559-002X
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!