Relative K-stability and modified K-energy on toric manifolds |
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| Authors: | Bin Zhou |
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| Affiliation: | Department of Mathematics, Peking University, Beijing 100871, China |
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| Abstract: | In this paper, we give a sufficient condition for both the relative K-stability and the properness of modified K-energy associated to Calabi's extremal metrics on toric manifolds. In addition, several examples of toric manifolds which satisfy the sufficient condition are presented. |
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| Keywords: | primary, 53C25 secondary, 32J15, 53C55, 58E11 |
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