A classification of certain submanifolds of an S-manifold
José L. Cabrerizo ; Luis M. Fernández ; Manuel Fernández
Annales Polonici Mathematici, Tome 55 (1991), p. 117-123 / Harvested from The Polish Digital Mathematics Library

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

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:262437
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     title = {A classification of certain submanifolds of an S-manifold},
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     volume = {55},
     year = {1991},
     pages = {117-123},
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José L. Cabrerizo; Luis M. Fernández; Manuel Fernández. A classification of certain submanifolds of an S-manifold. Annales Polonici Mathematici, Tome 55 (1991) pp. 117-123. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv54z2p117bwm/

[000] [1] D. E. Blair, Geometry of manifolds with structural group U(n) × O(s), J. Differential Geom. 4 (1970), 155-167. | Zbl 0202.20903

[001] [2] D. E. Blair, On a generalization of the Hopf fibration, An. Ştiinţ Univ. 'Al. I. Cuza' Iaşi 17 (1) (1971), 171-177.

[002] [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. | Zbl 0276.53026

[003] [4] J. Erbacher, Reduction of the codimension of an isometric immersion, J. Differential Geom. 5 (1971), 333-340. | Zbl 0221.53031

[004] [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.

[005] [6] M. Kobayashi and S. Tsuchiya, Invariant submanifolds of an f-manifold with complemented frames, Kôdai Math. Sem. Rep. 24 (1972), 430-450. | Zbl 0246.53038

[006] [7] S. Tanno, Sasakian manifolds with constant ψ-holomorphic sectional curvature, Tôhoku Math. J. 21 (1969), 501-507. | Zbl 0188.26801

[007] [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. | Zbl 0122.40705