Real hypersurfaces in quaternionic Kaehlerian manifolds with constant $Q$-sectional curvature

DOI10.2996/kmj/1138833571zbMath0424.53012OpenAlexW2080926138MaRDI QIDQ3858884

Jin Suk Pak

Publication date: 1977

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138833571

zbMATH Keywords

real hypersurfacesquaternionic Kaehlerian manifoldcontact 3-structure

Mathematics Subject Classification ID

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

Related Items (14)

Weakly symmetric spaces in complex and quaternionic space forms ⋮ On the Ricci tensor of a real hypersurface of quaternionic hyperbolic space ⋮ QR-submanifolds of \((p-1)\)-dimension in a quaternionic projective space \(QP^{(n+p)/4}\) under some curvature conditions ⋮ Quaternionic contact hypersurfaces in hyper-Kähler manifolds ⋮ Some characterizations of quaternionic space forms ⋮ Scalar curvature of \(QR\)-submanifolds with maximal \(QR\)-dimension in a quaternionic projective space ⋮ On the Normality of an Almost Contact 3-Structure on QR-Submanifolds ⋮ Real submanifolds in a quaternionic projective space ⋮ On submersion and immersion submanifolds of a quaternionic projective space ⋮ Naturally reductive homogeneous real hypersurfaces in quaternionic space forms ⋮ Real hypersurfaces in quaternionic projective space ⋮ Real hypersurfaces in complex two-plane Grassmannians with commuting shape operator ⋮ Codimension reduction for real submanifolds of quaternionic hyperbolic spaces ⋮ On the second fundamental tensor of real hypersurfaces in quaternionic hyperbolic space

Cites Work

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• Compact real hypersurfaces with constant mean curvature of a complex projective space
• Quaternion Kählerian manifolds
• A formula of Simons' type and hypersurfaces with constant mean curvature
• Rigidity theorems in rank-1 symmetric spaces
• On almost contact 3-structure
• Submanifolds with parallel mean curvature vector
• Some characterizations of quaternionic Kaehlerian manifolds with constant $Q$-sectional curvature
• On Some Real Hypersurfaces of a Complex Projective Space
• Quaternion Kählerian manifolds and fibred Riemannian spaces with Sasakian $3$-structure
• On real hypersurfaces of a complex projective space

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