2019
Uniqueness of smooth radial balanced metrics on the disc
ENGLIŠ, MiroslavBasic 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
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.695
RIV identification code
RIV/47813059:19610/19:A0000041
Organization unit
Mathematical Institute in Opava
UT WoS
000455923700012
EID Scopus
2-s2.0-85045029259
Keywords in English
Balanced metric; Bergman kernel; strictly pseudoconvex domain
Tags
Tags
International impact, Reviewed
Links
GA16-25995S, research and development project.
Changed: 20/4/2020 16:03, Mgr. Aleš Ryšavý
Abstract
In the original language
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.