A continuity method to construct canonical metrics

Gabriele La Nave; Gang Tian

doi:10.1007/s00208-015-1255-3

A continuity method to construct canonical metrics

Gabriele La Nave, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We introduce a new continuity method which, although less natural than flows such as the Kähler–Ricci flow, has the advantage of preserving a lower bound on the Ricci curvature, hence allowing the application of comparison geometry techniques, such as Cheeger–Colding–Tian’s compactness theory.

Original language	English (US)
Pages (from-to)	911-921
Number of pages	11
Journal	Mathematische Annalen
Volume	365
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-015-1255-3
State	Published - Aug 1 2016

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s00208-015-1255-3

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title = "A continuity method to construct canonical metrics",

abstract = "We introduce a new continuity method which, although less natural than flows such as the K{\"a}hler–Ricci flow, has the advantage of preserving a lower bound on the Ricci curvature, hence allowing the application of comparison geometry techniques, such as Cheeger–Colding–Tian{\textquoteright}s compactness theory.",

author = "{La Nave}, Gabriele and Gang Tian",

note = "Funding Information: G. Tian was supported partially by grants from NSF and NSFC. Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

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AB - We introduce a new continuity method which, although less natural than flows such as the Kähler–Ricci flow, has the advantage of preserving a lower bound on the Ricci curvature, hence allowing the application of comparison geometry techniques, such as Cheeger–Colding–Tian’s compactness theory.

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A continuity method to construct canonical metrics

Abstract

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