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I-properness of Mabuchi's K-energy
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Zheng, Kai (2015) I-properness of Mabuchi's K-energy. Calculus of Variations and Partial Differential Equations, 54 (3). pp. 2807-2830. doi:10.1007/s00526-015-0884-4 ISSN 0944-2669.
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Official URL: https://doi.org/10.1007/s00526-015-0884-4
Abstract
Over the space of Kähler metrics associated to a fixed Kähler class, we first prove the lower bound of the energy functional E~βE~β , then we provide the criteria of the geodesics rays to detect the lower bound of J~βJ~β -functional . They are used to obtain the I-properness of Mabuchi’s K-energy. The criteria are examined under a necessary and sufficient condition by showing the convergence of the negative gradient flow of J~βJ~β -functional.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Calculus of Variations and Partial Differential Equations | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0944-2669 | ||||||||
Official Date: | November 2015 | ||||||||
Dates: |
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Volume: | 54 | ||||||||
Number: | 3 | ||||||||
Page Range: | pp. 2807-2830 | ||||||||
DOI: | 10.1007/s00526-015-0884-4 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 20 November 2017 |
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