On Hopf hypersurfaces in a non-flat complex space form with η-recurrent Ricci tensor

Kon, Song-How; Loo, Tee-How

Kodai Math. J., Tome 33 (2010) no. 1, p. 240-250 / Harvested from Project Euclid

Résumé

Baikoussis, Lyu and Suh [1] showed that a Hopf hypersurface M in a non-flat complex space form M_n(c) with constant mean curvature and with η-recurrent Ricci tensor is locally congruent to one of real hypersurfaces of type A and B. They also conjectured that the same result can be obtained even without the constancy assumption on the mean curvature (cf. [1, Remark 5.1.]). The purpose of this paper is to answer this question in the affirmative.

Publié le : 2010-06-15
Classification:

@article{1278076340,
     author = {Kon, Song-How and Loo, Tee-How},
     title = {On Hopf hypersurfaces in a non-flat complex space form with $\eta$-recurrent Ricci tensor},
     journal = {Kodai Math. J.},
     volume = {33},
     number = {1},
     year = {2010},
     pages = { 240-250},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1278076340}
}

Kon, Song-How; Loo, Tee-How. On Hopf hypersurfaces in a non-flat complex space form with η-recurrent Ricci tensor. Kodai Math. J., Tome 33 (2010) no. 1, pp.  240-250. http://gdmltest.u-ga.fr/item/1278076340/