Isoperimetric inequality along the twisted Kähler–Ricci flow

Shouwen Fang; Tao Zheng

doi:10.1016/j.difgeo.2017.11.001

Isoperimetric inequality along the twisted Kähler–Ricci flow

Shouwen Fang
, Tao Zheng^*

^*Corresponding author for this work

Yangzhou University
Université Grenoble Alpes

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

Abstract

We prove a uniform isoperimetric inequality for all time along the twisted Kähler–Ricci flow on Fano manifolds.

Original language	English
Pages (from-to)	54-66
Number of pages	13
Journal	Differential Geometry and its Application
Volume	56
DOIs	https://doi.org/10.1016/j.difgeo.2017.11.001
Publication status	Published - Feb 2018
Externally published	Yes

Keywords

Gradient estimate
Isoperimetric inequality
The Poincaré inequality
Twisted Kähler–Ricci flow

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10.1016/j.difgeo.2017.11.001

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@article{ada9cdd4f2ed4517b2045456f632a636,

title = "Isoperimetric inequality along the twisted K{\"a}hler{\textendash}Ricci flow",

abstract = "We prove a uniform isoperimetric inequality for all time along the twisted K{\"a}hler{\textendash}Ricci flow on Fano manifolds.",

keywords = "Gradient estimate, Isoperimetric inequality, The Poincar{\'e} inequality, Twisted K{\"a}hler{\textendash}Ricci flow",

author = "Shouwen Fang and Tao Zheng",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2018",

month = feb,

doi = "10.1016/j.difgeo.2017.11.001",

language = "English",

volume = "56",

pages = "54--66",

journal = "Differential Geometry and its Application",

issn = "0926-2245",

publisher = "Elsevier B.V.",

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T1 - Isoperimetric inequality along the twisted Kähler–Ricci flow

AU - Fang, Shouwen

AU - Zheng, Tao

PY - 2018/2

Y1 - 2018/2

N2 - We prove a uniform isoperimetric inequality for all time along the twisted Kähler–Ricci flow on Fano manifolds.

AB - We prove a uniform isoperimetric inequality for all time along the twisted Kähler–Ricci flow on Fano manifolds.

KW - Gradient estimate

KW - Isoperimetric inequality

KW - The Poincaré inequality

KW - Twisted Kähler–Ricci flow

UR - https://www.scopus.com/pages/publications/85034248676

U2 - 10.1016/j.difgeo.2017.11.001

DO - 10.1016/j.difgeo.2017.11.001

M3 - Article

AN - SCOPUS:85034248676

SN - 0926-2245

VL - 56

SP - 54

EP - 66

JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

ER -

Isoperimetric inequality along the twisted Kähler–Ricci flow

Abstract

Keywords

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