On hypersurfaces of a Lie group

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zbMath0694.53049MaRDI QIDQ909261

Jaime Bruck Ripoll

Publication date: 1991

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

zbMATH Keywords

Hadamard's theorem Gauss-Bonnet theorem Gauss map left invariant metric hypersurfaces in a Lie group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40)

Related Items (7)

The Gauss map and second fundamental form of surfaces in a Lie group ⋮ Curvature-adapted submanifolds of semi-Riemannian groups ⋮ Topological invariants for closed hypersurfaces ⋮ Slant helices in three dimensional Lie groups ⋮ Gauss maps of the surfaces in the three-dimensional Heisenberg group ⋮ Einstein hypersurfaces of Damek-Ricci spaces ⋮ A generalization of Lancret's theorem

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