Three dimensional critical point of the total scalar curvature
Bull. Korean Math. Soc. 2013 Vol. 50, No. 3, 867-871
Printed May 31, 2013
Seungsu Hwang
Chung-Ang University
Abstract : It has been conjectured that, on a compact $3$-dimensional orientable manifold, a critical point of the total scalar curvature restricted to the space of constant scalar curvature metrics of unit volume is Einstein. In this paper we prove this conjecture under a condition that $\ker s_g'^*\neq 0$, which generalizes the previous partial results.
Keywords : total scalar curvature, critical point metric, Einstein metric
MSC numbers : Primary 53C25
Downloads: Full-text PDF  

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail:   | Powered by INFOrang Co., Ltd