ENGLIŠ, Miroslav, Hélène BOMMIER-HATO and El-Hassan YOUSSFI. Radial balanced metrics on the unit ball of the Kepler manifold. 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. |
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@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.
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