Subharmonicity of conic Mabuchi's functional, I release_rev_6840f25d-c683-4c0e-b0fb-005e3c5c174f

by Long Li

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abstracts [{'sha1': '9629360af3d34e1a7b6d790c214c1e350629fe42', 'content': "The purpose of this paper is to generalize the convexity of Mabuchi's\nfunctional to the conic setting. We first established a frame to study conic\ncscK metrics, and then the conic Mabuchi functional was introduced in such a\nway that conic cscK metrics are its critical points. Finally we proved the\nconvexity of the conic Mabuchi functional along any conic geodesics.", 'mimetype': 'text/plain', 'lang': 'en'}]
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ext_ids {'doi': None, 'wikidata_qid': None, 'isbn13': None, 'pmid': None, 'pmcid': None, 'core': None, 'arxiv': '1511.00178v2', 'jstor': None, 'ark': None, 'mag': None, 'doaj': None, 'dblp': None, 'oai': None}
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language en
license_slug ARXIV-1.0
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release_date 2016-03-01
release_stage submitted
release_type article
release_year 2016
revision 6840f25d-c683-4c0e-b0fb-005e3c5c174f
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title Subharmonicity of conic Mabuchi's functional, I
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work_id aww2p3nwffeplfs7mdgz4mwczu
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arxiv.base_id 1511.00178
arxiv.categories ['math.DG']
arxiv.comments Some errors and typos are corrected, and one Appendix is added to explain a new regularization technique for weak conic geodesics