Moving Symplectic Curves in Kähler-Einstein Surfaces

Jingyi Chen; Gang Tian

doi:10.1007/s101140000075

Moving Symplectic Curves in Kähler-Einstein Surfaces

Jingyi Chen, Gang Tian

Mathematics

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

22 Scopus citations

Abstract

We derive a parabolic equation for the Kähler angle of a real surface evolving under the mean curvature flow in a Kähler-Einstein surface and show that a symplectic curve remains symplectic with the flow.

Original language	English (US)
Pages (from-to)	541-548
Number of pages	8
Journal	Acta Mathematica Sinica, English Series
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/s101140000075
State	Published - 2000

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Kähler angle
Mean curvature flow
Symplectic curve

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10.1007/s101140000075

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title = "Moving Symplectic Curves in K{\"a}hler-Einstein Surfaces",

abstract = "We derive a parabolic equation for the K{\"a}hler angle of a real surface evolving under the mean curvature flow in a K{\"a}hler-Einstein surface and show that a symplectic curve remains symplectic with the flow.",

keywords = "K{\"a}hler angle, Mean curvature flow, Symplectic curve",

author = "Jingyi Chen and Gang Tian",

note = "Funding Information: Received March 29, 2000, Revised April 29, 2000, Accepted May 16, 2000 Chen is supported partially by an Alfred P. Sloan R esearch Fellowship and a grant from NSER C Tian is supported in part by a grant from NSF",

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doi = "10.1007/s101140000075",

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journal = "Acta Mathematica Sinica, English Series",

issn = "1439-8516",

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T1 - Moving Symplectic Curves in Kähler-Einstein Surfaces

AU - Chen, Jingyi

AU - Tian, Gang

N1 - Funding Information: Received March 29, 2000, Revised April 29, 2000, Accepted May 16, 2000 Chen is supported partially by an Alfred P. Sloan R esearch Fellowship and a grant from NSER C Tian is supported in part by a grant from NSF

PY - 2000

Y1 - 2000

N2 - We derive a parabolic equation for the Kähler angle of a real surface evolving under the mean curvature flow in a Kähler-Einstein surface and show that a symplectic curve remains symplectic with the flow.

AB - We derive a parabolic equation for the Kähler angle of a real surface evolving under the mean curvature flow in a Kähler-Einstein surface and show that a symplectic curve remains symplectic with the flow.

KW - Kähler angle

KW - Mean curvature flow

KW - Symplectic curve

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

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ER -

Moving Symplectic Curves in Kähler-Einstein Surfaces

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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