Radial balanced metrics on the unit ball of the Kepler manifold

@article{32701,
   author = {Engliš, Miroslav and BommierandHato, Hélène and Youssfi, ElandHassan},
   article_location = {San Diego (USA)},
   article_number = {1},
   doi = {http://dx.doi.org/10.1016/j.jmaa.2019.02.067},
   keywords = {Balanced metric; Bergman kernel; Kepler manifold},
   language = {eng},
   issn = {0022-247X},
   journal = {Journal of Mathematical Analysis and Applications},
   title = {Radial balanced metrics on the unit ball of the Kepler manifold},
   url = {https://www.sciencedirect.com/science/article/pii/S0022247X19301994?via%3Dihub},
   volume = {475},
   year = {2019}
}

TY  - JOUR
ID  - 32701
AU  - Engliš, Miroslav - Bommier-Hato, Hélène - Youssfi, El-Hassan
PY  - 2019
TI  - Radial balanced metrics on the unit ball of the Kepler manifold
JF  - Journal of Mathematical Analysis and Applications
VL  - 475
IS  - 1
SP  - 736-754
EP  - 736-754
PB  - Academic Press Inc. Elsevier Science
SN  - 0022247X
KW  - Balanced metric
KW  - Bergman kernel
KW  - Kepler manifold
UR  - https://www.sciencedirect.com/science/article/pii/S0022247X19301994?via%3Dihub
L2  - https://www.sciencedirect.com/science/article/pii/S0022247X19301994?via%3Dihub
N2  - 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.
ER  - 

ENGLIŠ, Miroslav, Hélène BOMMIER-HATO and El-Hassan YOUSSFI. Radial balanced metrics on the unit ball of the Kepler manifold. \textit{Journal of Mathematical Analysis and Applications}. San Diego (USA): Academic Press Inc. Elsevier Science, 2019, vol.~475, No~1, p.~736-754. ISSN~0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2019.02.067.