Hopf hypersurfaces in pseudo-Riemannian complex and para-complex space forms

DOI10.1016/j.difgeo.2015.05.004zbMath1331.53077arXiv1407.1283OpenAlexW1732095668WikidataQ115355914 ScholiaQ115355914MaRDI QIDQ745021

Henri Anciaux, Konstantina Panagiotidou

Publication date: 12 October 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1283

zbMATH Keywords

Hopf hypersurfacesreal hypersurfacespseudo-Riemannian geometrytubes

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Hopf real hypersurfaces in the indefinite complex projective space ⋮ Ruled real hypersurfaces in the indefinite complex projective space ⋮ Hopf hypersurfaces in spaces of oriented geodesics

Cites Work

• Real hypersurfaces of a complex hyperbolic space
• Hopf hypersurfaces of small Hopf principal curvature in \({\mathbb{C}{\text H}^2}\)
• Spaces of constant para-holomorphic sectional curvature
• A d'Alembert formula for Hopf hypersurfaces
• The fundamental equations of a submersion
• Focal Sets and Real Hypersurfaces in Complexes Projective Space
• On real hypersurfaces of a complex projective space
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