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arXiv · 1905.05948

Mabuchi's soliton metric and relative D-stability

Tomoyuki Hisamoto
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Abstract

For Fano manifolds T. Mabuchi introduced a generalization of the K\"ahler-Einstein metric, which is characterized as the critical point of the Ricci-Calabi functional. We show that a Fano manifold admits Mabuchi's metric if and only if it is uniformly relatively D-stable.

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Tomoyuki Hisamoto. 2019-05-15. Mabuchi's soliton metric and relative D-stability. https://arxiv.org/abs/1905.05948

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