On fibred Sasakian spaces with vanishing contact Bochner curvature tensor
Takano, Kazuhiko
Colloquium Mathematicae, Tome 66 (1993), p. 181-200 / Harvested from The Polish Digital Mathematics Library
Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210213
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     author = {Kazuhiko Takano},
     title = {On fibred Sasakian spaces with vanishing contact Bochner curvature tensor},
     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {181-200},
     zbl = {0828.53040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv65i2p181bwm}
}
Takano, Kazuhiko. On fibred Sasakian spaces with vanishing contact Bochner curvature tensor. Colloquium Mathematicae, Tome 66 (1993) pp. 181-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv65i2p181bwm/

[000] [1] M. Ako and K. Yano, On hypersurfaces of an odd-dimensional sphere as fibred spaces, in: Differential Geometry in Honor of K. Yano, Kinokuniya, Tokyo 1972, 1-19. | Zbl 0255.53015

[001] [2] I. Hasegawa and T. Nakane, On Sasakian manifolds with vanishing contact Bochner curvature tensor, Hokkaido Math. J. 9 (1980), 184-189. | Zbl 0449.53016

[002] [3] S. Ishihara and M. Konishi, Fibred Riemannian spaces with Sasakian 3-structure, in: Differential Geometry in Honor of K. Yano, Kinokuniya, Tokyo 1972, 179-194.

[003] [4] B. H. Kim, Fibred Riemannian spaces with contact structure, Hiroshima Math. J. 18 (1988), 493-508. | Zbl 0696.53024

[004] [5] --, Fibred Sasakian spaces with vanishing contact Bochner curvature tensor, ibid. 19 (1989), 181-195. | Zbl 0724.53030

[005] [6] M. Matsumoto and G. Chūman, On the C-Bochner curvature tensor, TRU Math. 5 (1969), 21-30. | Zbl 0206.50705

[006] [7] M. Matsumoto and S. Tanno, Kählerian spaces with parallel or vanishing Bochner curvature tensor, Tensor (N.S.) 27 (1973), 291-294. | Zbl 0278.53046

[007] [8] B. O'Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966), 459-469.

[008] [9] S. Tachibana, On the Bochner curvature tensor, Natur. Sci. Rep. Ochanomizu Univ. 18 (1967), 15-19. | Zbl 0161.41202

[009] [10] S. Tachibana and R. C. Liu, Notes on Kählerian metrics with vanishing Bochner curvature tensor, Kodai Math. Sem. Rep. 22 (1970), 313-321. | Zbl 0199.25303

[010] [11] K. Takano, Certain 1-forms in fibred Sasakian spaces and certain 2-form in fibred Riemannian spaces, SUT J. Math. 26 (1990), 169-200. | Zbl 0760.53018

[011] [12] Y. Tashiro and B. H. Kim, Almost complex and almost contact structures in fibred Riemannian spaces, Hiroshima Math. J. 18 (1988), 161-188. | Zbl 0655.53030

[012] [13] K. Yano and M. Kon, Structures on Manifolds, World Sci., 1984.

[013] [14] I. Yokote, A certain derivative in fibred Riemannian spaces, and its applications to vector fields, Kodai Math. Sem. Rep. 29 (1978), 211-232. | Zbl 0402.53025