Geometric meaning of Sasakian space forms from the viewpoint of submanifold theory
Adachi, Toshiaki ; Kameda, Masumi ; Maeda, Sadahiro
Kodai Math. J., Tome 33 (2010) no. 1, p. 383-397 / Harvested from Project Euclid
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We show that M2n-1 is a real hypersurface all of whose geodesics orthogonal to the characteristic vector ξ are mapped to circles of the same curvature 1 in an n-dimensional nonflat complex space form $\widetilde{M}_n$ (c) (= CPn(c) or CHn(c)) if and only if M is a Sasakian manifold with respect to the almost contact metric structure from the ambient space $\widetilde{M}_n$ (c). Moreover, this Sasakian manifold M is a Sasakian space form of constant φ-sectional curvature c + 1 for each c (≠0).
Publié le : 2010-10-15
Classification:  
@article{1288962549,
     author = {Adachi, Toshiaki and Kameda, Masumi and Maeda, Sadahiro},
     title = {Geometric meaning of Sasakian space forms from the viewpoint of submanifold theory},
     journal = {Kodai Math. J.},
     volume = {33},
     number = {1},
     year = {2010},
     pages = { 383-397},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1288962549}
}

Adachi, Toshiaki; Kameda, Masumi; Maeda, Sadahiro. Geometric meaning of Sasakian space forms from the viewpoint of submanifold theory. Kodai Math. J., Tome 33 (2010) no. 1, pp.  383-397. http://gdmltest.u-ga.fr/item/1288962549/