Rigidity theorems by the logarithmic capacity

Abstract

In light of the Suita conjecture, we explore various rigidity phenomena concerning the Bergman kernel, logarithmic capacity, Green's function, and Euclidean distance and volume.

This paper has been withdrawn by the authors. It has been superseded and generalized by arXiv:2111.10973 (merged from arXiv:2011.05273 and arXiv:2101.01358)

References in corpus (2)

• Estimates for the Bergman Kernel and the Multidimensional Suita Conjecture
• Rigidity theorem by the minimal point of the Bergman kernel

Cited by in corpus (1)

• Rigidity theorem of the Bergman kernel by analytic capacity