Open Access
October, 2010 New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space
Takashi OKAYASU
J. Math. Soc. Japan 62(4): 1137-1166 (October, 2010). DOI: 10.2969/jmsj/06241137

Abstract

By using the method of equivariant differential geometry, we construct a new family of noncompact complete hypersurfaces with constant positive scalar curvature in the Euclidean spaces. To do so we make a detailed analysis of the nonlinear ODE of the constant scalar curvature equation.

Citation

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Takashi OKAYASU. "New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space." J. Math. Soc. Japan 62 (4) 1137 - 1166, October, 2010. https://doi.org/10.2969/jmsj/06241137

Information

Published: October, 2010
First available in Project Euclid: 2 November 2010

zbMATH: 1208.53063
MathSciNet: MR2761917
Digital Object Identifier: 10.2969/jmsj/06241137

Subjects:
Primary: 53C40
Secondary: 53C42

Keywords: equivariant differential geometry , Scalar curvature

Rights: Copyright © 2010 Mathematical Society of Japan

Vol.62 • No. 4 • October, 2010
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