\(D\)-Einstein real hypersurfaces of quaternionic space forms

DOI10.1007/BF02505886zbMath1025.53010MaRDI QIDQ1866739

Juan de Dios Pérez, Miguel Ortega

Publication date: 22 April 2003

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Einstein manifoldsquaternionic space formsreal hypersurfaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local submanifolds (53B25)

Related Items (6)

Three dimensional 2-Hopf hypersurfaces with harmonic curvature ⋮ A generalized Wintgen inequality for quaternionic CR-submanifolds ⋮ On \(\delta\)-Casorati curvature invariants of Lagrangian submanifolds in quaternionic Kähler manifolds of constant \(q\)-sectional curvature ⋮ Generalized -Einstein Real Hypersurfaces in and ⋮ Affine connections on 3-Sasakian homogeneous manifolds ⋮ Generalized \(\mathcal{D}\)-Einstein real hypersurfaces with constant coefficient

Cites Work

• Quaternion Kählerian manifolds
• On the Ricci tensor of a real hypersurface of quaternionic hyperbolic space
• A characterization of pseudo-Einstein real hypersurfaces in a quaternionic projective space
• A characterization of almost-Einstein real hypersurfaces of quaternionic projective space
• Real hypersurfaces in quaternionic projective space
• Real hypersurfaces in quaternionic space forms.

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