2019
Radial balanced metrics on the unit ball of the Kepler manifold
ENGLIŠ, Miroslav; Hélène BOMMIER-HATO and El-Hassan YOUSSFIBasic information
Original name
Radial balanced metrics on the unit ball of the Kepler manifold
Authors
ENGLIŠ, Miroslav (203 Czech Republic, belonging to the institution); Hélène BOMMIER-HATO (250 France) and El-Hassan YOUSSFI (250 France)
Edition
Journal of Mathematical Analysis and Applications, San Diego (USA), Academic Press Inc. Elsevier Science, 2019, 0022-247X
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 1.220
RIV identification code
RIV/47813059:19610/19:A0000043
Organization unit
Mathematical Institute in Opava
UT WoS
000464490800038
EID Scopus
2-s2.0-85062628044
Keywords in English
Balanced metric; Bergman kernel; Kepler manifold
Tags
Tags
International impact, Reviewed
Links
GA16-25995S, research and development project.
Changed: 20/4/2020 16:01, Mgr. Aleš Ryšavý
Abstract
In the original language
We show that there is no radial balanced metric on the unit ball of the Kepler manifold with not too wild boundary behavior. Additionally, we identify explicitly the weights corresponding to radial metrics with such boundary behavior which satisfy the balanced condition as far as germs at the boundary are concerned. Related results for Poincaré metrics are also established.