Conformal regular spacelike hypersurfaces in a conformal space \(\mathbb {Q}^{n+1}_1\)

DOI10.1007/s13398-016-0306-2zbMath1362.53031OpenAlexW2377753518MaRDI QIDQ523118

Shichang Shu, Junfeng Chen

Publication date: 20 April 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0306-2

zbMATH Keywords

conformal Blaschke tensorconformal formconformal regular space-like hypersurfacesconformal space

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Local Riemannian geometry (53B20)

Cites Work

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• Space-like isoparametric hypersurfaces in Lorentzian space forms
• Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• On closed hypersurfaces of constant scalar curvatures and mean curvatures in \(S^{n+1}\)
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• Conformal isoparametric spacelike hypersurfaces in conformal spaces \(\mathbb Q_1^4\) and \(\mathbb Q^5_1\)
• A classification of immersed hypersurfaces in spheres with parallel Blaschke tensors
• A conformal differential invariant and the conformal rigidity of hypersurfaces
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature

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