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

8 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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La Nave, G., & Tian, G. (2016). A continuity method to construct canonical metrics. Mathematische Annalen, 365(3-4), 911-921. https://doi.org/10.1007/s00208-015-1255-3

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