Scalar curvature of \(QR\)-submanifolds with maximal \(QR\)-dimension in a quaternionic projective space

DOI10.1007/s13226-011-0007-7zbMath1266.53061OpenAlexW2000876288WikidataQ125886268 ScholiaQ125886268MaRDI QIDQ717790

Hyang Sook Kim, Jin Suk Pak

Publication date: 5 October 2011

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-011-0007-7

zbMATH Keywords

scalar curvatureminimalquaternionic projective space\(QR\)-submanifoldmaximal \(QR\)-dimensionquaternionic invariant distribution

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• The scalar curvature of CR submanifolds of maximal CR dimension of complex projective space
• Quaternion CR-submanifolds of quaternion manifolds
• Quaternion Kählerian manifolds
• \(QR\)-submanifolds of \((p-1)\) \(QR\)-dimension in a quaternionic projective space \(QP^{(n+p)/4}\)
• Rigidity theorems in rank-1 symmetric spaces
• On almost contact 3-structure
• On the Normality of an Almost Contact 3-Structure on QR-Submanifolds
• Real hypersurfaces in quaternionic Kaehlerian manifolds with constant $Q$-sectional curvature
• QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC PROJECTIVE SPACE
• Real hypersurfaces in quaternionic space forms.

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