O(2) × O(2)-Invariant Hypersurfaces with Constant Negative Scalar Curvature in E 4

DOI10.2307/2047665zbMath0686.53047OpenAlexW1976400340MaRDI QIDQ4204756

Takashi Okayasu

Publication date: 1989

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047665

zbMATH Keywords

Euclidean spacescomplete hypersurfacesconstant negative scalar curvatureO(2)\(\times O(2)\)-invariant hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (5)

New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space ⋮ Translation hypersurfaces with constant scalar curvature into the Euclidean space ⋮ Complete and stable \(O(p+1) \times O(q+1)\)-invariant hypersurfaces with zero scalar curvature in Euclidean space \(\mathbb R^{p+q+2}\) ⋮ Heinz type estimates for graphs in Euclidean space ⋮ O(p + 1) x O(p + 1)-Invariant hypersurfaces with zero scalar curvature in euclidean space

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