ArticleOriginal scientific text

Title

A classification of certain submanifolds of an S-manifold

Authors 1, 1, 1

Affiliations

  1. Departamento de Algebra, Computación, Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apartado de Correos 1.160, 41080 Sevilla, Spain

Abstract

A classification theorem is obtained for submanifolds with parallel second fundamental form of an -manifold whose invariant f-sectional curvature is constant.

Keywords

-manifolds, -manifolds

Bibliography

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  4. J. Erbacher, Reduction of the codimension of an isometric immersion, J. Differential Geom. 5 (1971), 333-340.
  5. I. Hasegawa, Y. Okuyama and T. Abe, On p-th Sasakian manifolds, J. Hokkaido Univ. Ed. Sect. II A 37 (1) (1986), 1-16.
  6. M. Kobayashi and S. Tsuchiya, Invariant submanifolds of an f-manifold with complemented frames, Kôdai Math. Sem. Rep. 24 (1972), 430-450.
  7. S. Tanno, Sasakian manifolds with constant ψ-holomorphic sectional curvature, Tôhoku Math. J. 21 (1969), 501-507.
  8. K. Yano, On a structure defined by a tensor field f of type (1,1) satisfying f³ + f = 0, Tensor 14 (1963), 99-109.
Pages:
117-123
Main language of publication
English
Received
1989-03-25
Accepted
1990-03-15
Published
1991
Exact and natural sciences