Ricci curvature of conformal deformation on compact 2-manifolds

Yoon-Tae Jung; Soo-Young Lee; Eun-Hee Choi

doi:10.3934/cpaa.2020140

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2020, Volume 19, Issue 6: 3223-3231. Doi: 10.3934/cpaa.2020140

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Ricci curvature of conformal deformation on compact 2-manifolds

Department of Mathematics, Chosun University, Kwangju, 61452, Republic of Korea

^* Corresponding author
^* Corresponding author

Received: May 31, 2019

Revised: November 30, 2019

Published: March 2020

The first author was supported by Chosun University Research Fund 2018

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Abstract

In this paper, we consider Ricci curvature of conformal deformation on compact 2-manifolds. And we prove that, by the conformal deformation, the resulting manifold is an Einstein manifold.

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Mathematics Subject Classification: Primary: 53C21, 58E30; Secondary: 53C25.58H15, 58J05.

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References

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