J 2019

Uniqueness of smooth radial balanced metrics on the disc

ENGLIŠ, Miroslav

Basic information

Original name

Uniqueness of smooth radial balanced metrics on the disc

Authors

ENGLIŠ, Miroslav (203 Czech Republic, guarantor, belonging to the institution)

Edition

Complex Variables and Elliptic Equations. An International Journal, Abingdon, Taylor and Francis Ltd. 2019, 1747-6933

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/47813059:19610/19:A0000041

Organization unit

Mathematical Institute in Opava

UT WoS

000455923700012

Keywords in English

Balanced metric; Bergman kernel; strictly pseudoconvex domain

Tags

Tags

International impact, Reviewed

Links

GA16-25995S, research and development project.
Změněno: 20/4/2020 16:03, Mgr. Aleš Ryšavý

Abstract

V originále

We show that the usual Poincaré metric is the only radial balanced metric on the disc with not too wild boundary behaviour. Additionally, we identify explicitly all radial metrics with such boundary behaviour which satisfy the balanced condition as far as germs at the boundary are concerned. Related results for the annulus and the punctured disc are also established.