## Journal of the Mathematical Society of Japan

### New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space

Takashi OKAYASU

#### 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.

#### Article information

Source
J. Math. Soc. Japan, Volume 62, Number 4 (2010), 1137-1166.

Dates
First available in Project Euclid: 2 November 2010

https://projecteuclid.org/euclid.jmsj/1288703100

Digital Object Identifier
doi:10.2969/jmsj/06241137

Mathematical Reviews number (MathSciNet)
MR2761917

Zentralblatt MATH identifier
1208.53063

#### Citation

OKAYASU, Takashi. New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space. J. Math. Soc. Japan 62 (2010), no. 4, 1137--1166. doi:10.2969/jmsj/06241137. https://projecteuclid.org/euclid.jmsj/1288703100

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