Conformal Ricci flow on asymptotically hyperbolic manifolds

Peng Lu; Jie Qing; Yu Zheng

doi:10.1007/s11425-018-9331-7

Conformal Ricci flow on asymptotically hyperbolic manifolds

Peng Lu^*
, Jie Qing
, Yu Zheng

^*Corresponding author for this work

School of Mathematical Sciences

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

5 Scopus citations

Abstract

In this article, we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi’s type curvature derivative estimate for conformal Ricci flow.

Original language	English
Pages (from-to)	157-170
Number of pages	14
Journal	Science China Mathematics
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/s11425-018-9331-7
State	Published - 1 Jan 2019

Keywords

53C25
58J05
asymptotically hyperbolic manifolds
conformal Ricci flow
local Shi’s curvature derivative estimates
short time existence

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10.1007/s11425-018-9331-7

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@article{2e9ed372c9144806b77d31317c58c592,

title = "Conformal Ricci flow on asymptotically hyperbolic manifolds",

abstract = "In this article, we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi{\textquoteright}s type curvature derivative estimate for conformal Ricci flow.",

keywords = "53C25, 58J05, asymptotically hyperbolic manifolds, conformal Ricci flow, local Shi{\textquoteright}s curvature derivative estimates, short time existence",

author = "Peng Lu and Jie Qing and Yu Zheng",

note = "Publisher Copyright: {\textcopyright} 2018, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2019",

month = jan,

day = "1",

doi = "10.1007/s11425-018-9331-7",

language = "英语",

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journal = "Science China Mathematics",

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T1 - Conformal Ricci flow on asymptotically hyperbolic manifolds

AU - Lu, Peng

AU - Qing, Jie

AU - Zheng, Yu

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this article, we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi’s type curvature derivative estimate for conformal Ricci flow.

AB - In this article, we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi’s type curvature derivative estimate for conformal Ricci flow.

KW - 53C25

KW - 58J05

KW - asymptotically hyperbolic manifolds

KW - conformal Ricci flow

KW - local Shi’s curvature derivative estimates

KW - short time existence

UR - https://www.scopus.com/pages/publications/85054158297

U2 - 10.1007/s11425-018-9331-7

DO - 10.1007/s11425-018-9331-7

M3 - 文章

AN - SCOPUS:85054158297

SN - 1674-7283

VL - 62

SP - 157

EP - 170

JO - Science China Mathematics

JF - Science China Mathematics

IS - 1

ER -

Conformal Ricci flow on asymptotically hyperbolic manifolds

Abstract

Keywords

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