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arXiv · 2004.05228

Radial balanced metrics on the unit ball of the Kepler manifold

Helene Bommier-Hato·Miroslav Englis·El-Hassan Youssfi
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Abstract

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 Poincare metrics are also established.

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Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi. 2020-04-07. Radial balanced metrics on the unit ball of the Kepler manifold. https://arxiv.org/abs/2004.05228

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