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

22 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

General Mathematics

Access to Document

10.1007/s00208-015-1255-3

Cite this

@article{7a16bce74efa485c9f14eaf6e96484dc,

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 = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = aug,

day = "1",

doi = "10.1007/s00208-015-1255-3",

language = "English (US)",

volume = "365",

pages = "911--921",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer New York",

number = "3-4",

}

TY - JOUR

T1 - A continuity method to construct canonical metrics

AU - La Nave, Gabriele

AU - Tian, Gang

PY - 2016/8/1

Y1 - 2016/8/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/84938702692

UR - https://www.scopus.com/pages/publications/84938702692#tab=citedBy

U2 - 10.1007/s00208-015-1255-3

DO - 10.1007/s00208-015-1255-3

M3 - Article

AN - SCOPUS:84938702692

SN - 0025-5831

VL - 365

SP - 911

EP - 921

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

ER -

A continuity method to construct canonical metrics

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this