Higher order parallel surfaces in Bianchi-Cartan-Vranceanu spaces

DOI10.1007/S00025-007-0282-0zbMath1156.53014OpenAlexW1990970232MaRDI QIDQ927819

Joeri Van der Veken

Publication date: 10 June 2008

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-007-0282-0

zbMATH Keywords

surfacesecond fundamental formtotally umbilicalthree-dimensional homogeneous spacehigher order parallel

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

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Rotationally invariant constant Gauss curvature surfaces in Berger spheres ⋮ Four-dimensional homogeneous Lorentzian manifolds ⋮ Affine hypersurfaces of arbitrary signature with an almost symplectic form ⋮ DIRAC STRUCTURES FROM LIE INTEGRABILITY ⋮ Higher order parallel surfaces in the Heisenberg group ⋮ A complete classification of parallel surfaces in three-dimensional homogeneous spaces ⋮ Unnamed Item ⋮ ON EXTRINSICALLY SYMMETRIC HYPERSURFACES OF ℍⁿ×ℝ ⋮ The classification of totally umbilical surfaces in homogeneous 3-manifolds ⋮ Parallel and semi-parallel hypersurfaces of \(\mathbb{S}^n \times \mathbb R\) ⋮ Rigidity of surfaces with constant extrinsic curvature in Riemannian product spaces ⋮ Hypersurfaces with a parallel higher fundamental form ⋮ The real Jacobi group revisited ⋮ Geometry of extended Bianchi-Cartan-Vranceanu spaces ⋮ Totally umbilical hypersurfaces of manifolds admitting a unit Killing field ⋮ Slant and Legendre curves in Bianchi-Cartan-Vranceanu geometry

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