$\textrm {O}(2)\times \textrm {O}(2)$-invariant hypersurfaces with constant negative scalar curvature in $E^ 4$
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- by Takashi Okayasu PDF
- Proc. Amer. Math. Soc. 107 (1989), 1045-1050 Request permission
Abstract:
We use the method of equivariant differential geometry to prove the existence of a complete hypersurface with constant negative scalar curvature in ${E^n}(n \geq 4)$. This is the first example of a complete hypersurface with constant negative scalar curvature in ${E^n}(n \geq 4)$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 1045-1050
- MSC: Primary 53C40
- DOI: https://doi.org/10.1090/S0002-9939-1989-0990430-7
- MathSciNet review: 990430