Codimension reduction for real submanifolds of quaternionic hyperbolic spaces

DOI10.1007/s10474-008-7167-xzbMath1199.53119OpenAlexW2075585402MaRDI QIDQ1046816

Jin Suk Pak, Hyang Sook Kim

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-7167-x

zbMATH Keywords

reduction theoremquaternionic hyperbolic spaceSasakian 3-structureQR-submanifold of maximal QR-dimensionquaternionic invariant subspace

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40)

Related Items (1)

Codimension reduction in symmetric spaces

Cites Work

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• On some real hypersurfaces of a complex hyperbolic space
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• Killing vectors on contact Riemannian manifolds and fiberings related to the Hopf fibration
• Real hypersurfaces in quaternionic Kaehlerian manifolds with constant $Q$-sectional curvature
• Geometric applications of critical point theory to submanifolds of complex projective space
• On manifolds with Sasakian $3$-structure over quaternion Kaehler manifolds
• Quaternion Kählerian manifolds and fibred Riemannian spaces with Sasakian $3$-structure
• Rigidity for Spaces of Class Greater Than One

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