On the convergence of a modified Kähler-Ricci flow

Yuan Yuan

doi:10.1007/s00209-010-0670-0

On the convergence of a modified Kähler-Ricci flow

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

Abstract

We study the convergence of a modified Kähler-Ricci flow defined by Zhou Zhang. We show that the modified Kähler-Ricci flow converges to a singular metric when the limit class is degenerate. This proves a conjecture of Zhang.

Original language	English (US)
Pages (from-to)	281-289
Number of pages	9
Journal	Mathematische Zeitschrift
Volume	268
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-010-0670-0
State	Published - Jun 2011
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s00209-010-0670-0

Cite this

@article{913895bc83c241d9967ebbbe362ac149,

title = "On the convergence of a modified K{\"a}hler-Ricci flow",

abstract = "We study the convergence of a modified K{\"a}hler-Ricci flow defined by Zhou Zhang. We show that the modified K{\"a}hler-Ricci flow converges to a singular metric when the limit class is degenerate. This proves a conjecture of Zhang.",

author = "Yuan Yuan",

year = "2011",

month = jun,

doi = "10.1007/s00209-010-0670-0",

language = "English (US)",

volume = "268",

pages = "281--289",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - On the convergence of a modified Kähler-Ricci flow

AU - Yuan, Yuan

PY - 2011/6

Y1 - 2011/6

N2 - We study the convergence of a modified Kähler-Ricci flow defined by Zhou Zhang. We show that the modified Kähler-Ricci flow converges to a singular metric when the limit class is degenerate. This proves a conjecture of Zhang.

AB - We study the convergence of a modified Kähler-Ricci flow defined by Zhou Zhang. We show that the modified Kähler-Ricci flow converges to a singular metric when the limit class is degenerate. This proves a conjecture of Zhang.

UR - http://www.scopus.com/inward/record.url?scp=79955937317&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79955937317&partnerID=8YFLogxK

U2 - 10.1007/s00209-010-0670-0

DO - 10.1007/s00209-010-0670-0

M3 - Article

AN - SCOPUS:79955937317

SN - 0025-5874

VL - 268

SP - 281

EP - 289

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1-2

ER -

On the convergence of a modified Kähler-Ricci flow

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this