On the second fundamental tensor of real hypersurfaces in quaternionic hyperbolic space

DOI10.1216/rmjm/1020171680zbMath1002.53030OpenAlexW1966058716MaRDI QIDQ1596565

Juan de Dios Pérez, Miguel Ortega

Publication date: 15 January 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-3/CONT31-3/CONT31-3.html

zbMATH Keywords

real hypersurfaceshorospherequaternionic hyperbolic spacesemiparallelitytube of radius

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global submanifolds (53C40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quaternion Kählerian manifolds
• On sectional and Ricci curvatures of semi-Riemannian submersions
• Real hypersurfaces in quaternionic projective space
• Real hypersurfaces in quaternionic Kaehlerian manifolds with constant $Q$-sectional curvature
• Quaternion Kählerian manifolds and fibred Riemannian spaces with Sasakian $3$-structure
• On Fubinian and $C$-Fubinian manifolds
• Real hypersurfaces in quaternionic space forms.