Shape operators and structure tensors of real hypersurfaces in nonflat quaternionic space forms

• Autorzy: Maeda S. , Adachi T.
• Języki publikacji: EN

Abstrakty

EN

We characterize curvature-adapted real hypersurfaces in nonflat quaternionic space forms in terms of their shape operators and structure tensors.

Słowa kluczowe

EN

real hypersurfaces; curvature-adapted real hypersurfaces; quaternionic space forms; shape operators; structure tensors; quaternionic Kahler structures

PL

hiperpowierzchnia rzeczywista

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 3
• Strony: 319--328
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Maeda S.

• Department of Mathematics, Shimane University, Matsue, Shimane, 690-8504, Japan

autor

Adachi T.

• Department of Mathematics, Nagoya Institute of Technology, Gokiso, Nagoya, 466-8555, Japan

Bibliografia

• [AM] T. Adachi and S. Maeda, Curvature-adapted real hypersurfaces in quaternionic space forms, Kodai Math. J. 24 (2001), 98-119.
• [B] J. B. Berndt, Real hypersurfaces in quaternionic space forms, J. Reine Angew. Math. 419 (1991), 9-26.
• [K] M. Kimura, Some non-homogeneous real hypersurfaces in a complex projective space I (Construction); II (Characterization), Bull. Fac. Education Ibaraki Univ. (Natural Sci.) 44 (1995), 1-16 and 17-31.
• [NR] R. Niebergall and P. J. Ryan, Real hypersurfaces in complex space forms, in: Tight and Taut Submanifolds, T. E. Cecil and S. S. Chern (eds.), Cambridge Univ. Press, 1998, 233-305.