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On Chen's basic equality

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Publication:1129405
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zbMath0903.53017MaRDI QIDQ1129405

Marcos Dajczer, Luis A. Florit

Publication date: 5 January 1999

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Chen's basic equalitycodimension two umbilic foliationsrotational submanifolds


Mathematics Subject Classification ID

Local submanifolds (53B25)


Related Items

4-dimensional minimal CR submanifolds of the sphere \(S^{6}\) satisfying Chen's equality ⋮ Minimal contact CR submanifolds in \(\mathbb S^{2n+1}\) satisfying the \(\delta(2)\)-Chen equality ⋮ On Riemannian manifolds foliated by \((n-1)\)-umbilical hypersurfaces ⋮ On strongly minimal Kähler surfaces in \(\mathbb{C}^3\) and the Equality \(\mathrm{scal}(p) = 4 \inf \mathrm{sec}(\pi^r)\) ⋮ On a class of submanifolds carrying an extrinsic totally umbilical foliation. ⋮ Three-dimensional minimal CR submanifolds in \(S^{6}\) satisfying Chen's equality ⋮ On Chen ideal submanifolds satisfying some conditions of pseudo-symmetry type ⋮ Ideal CR Submanifolds ⋮ A class of Einstein submanifolds of Euclidean space ⋮ 4-dimensional minimal CR submanifolds of the sphere \(\mathbf S^6\) contained in a totally geodesic sphere \(\mathbf S^5\)



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