# A classification of certain submanifolds of an S-manifold

José L. Cabrerizo; Luis M. Fernández; Manuel Fernández

Annales Polonici Mathematici (1991)

- Volume: 54, Issue: 2, page 117-123
- ISSN: 0066-2216

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topJosé L. Cabrerizo, Luis M. Fernández, and Manuel Fernández. "A classification of certain submanifolds of an S-manifold." Annales Polonici Mathematici 54.2 (1991): 117-123. <http://eudml.org/doc/262437>.

@article{JoséL1991,

abstract = {A classification theorem is obtained for submanifolds with parallel second fundamental form of an 𝑆-manifold whose invariant f-sectional curvature is constant.},

author = {José L. Cabrerizo, Luis M. Fernández, Manuel Fernández},

journal = {Annales Polonici Mathematici},

keywords = {𝑆-manifolds; parallel second fundamental form; S-manifolds; f-structures; polynomial structure},

language = {eng},

number = {2},

pages = {117-123},

title = {A classification of certain submanifolds of an S-manifold},

url = {http://eudml.org/doc/262437},

volume = {54},

year = {1991},

}

TY - JOUR

AU - José L. Cabrerizo

AU - Luis M. Fernández

AU - Manuel Fernández

TI - A classification of certain submanifolds of an S-manifold

JO - Annales Polonici Mathematici

PY - 1991

VL - 54

IS - 2

SP - 117

EP - 123

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

LA - eng

KW - 𝑆-manifolds; parallel second fundamental form; S-manifolds; f-structures; polynomial structure

UR - http://eudml.org/doc/262437

ER -

## References

top- [1] D. E. Blair, Geometry of manifolds with structural group U(n) × O(s), J. Differential Geom. 4 (1970), 155-167. Zbl0202.20903
- [2] D. E. Blair, On a generalization of the Hopf fibration, An. Ştiinţ Univ. 'Al. I. Cuza' Iaşi 17 (1) (1971), 171-177.
- [3] D. E. Blair, G. D. Ludden and K. Yano, Differential geometric structures on principal toroidal bundles, Trans. Amer. Math. Soc. 181 (1973), 175-184. Zbl0276.53026
- [4] J. Erbacher, Reduction of the codimension of an isometric immersion, J. Differential Geom. 5 (1971), 333-340. Zbl0221.53031
- [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. Zbl0246.53038
- [7] S. Tanno, Sasakian manifolds with constant ψ-holomorphic sectional curvature, Tôhoku Math. J. 21 (1969), 501-507. Zbl0188.26801
- [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. Zbl0122.40705

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