Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds ([1, 2]). I. Mihai ([8]) and L. Ornea ([9]) have investigated CR-submanifolds of S-manifolds. The purpose of the present paper is to study a special kind of such submanifolds, namely the normal CR-submanifolds. In Sections 1 and 2, we review basic formulas and definitions for submanifolds in Riemannian manifolds and in S-manifolds, respectively, which we shall use later. In Section 3, we introduce normal CR-submanifolds of S-manifolds and we study some properties of their geometry. Finally, in Section 4, we consider those submanifolds in the case of the ambient S-manifold being an S-space form.
@article{bwmeta1.element.bwnjournal-article-cmv64i2p203bwm,
author = {Jos\'e Cabrerizo and Luis Fern\'andez and Manuel Fern\'andez},
title = {On normal CR-submanifolds of S-manifolds},
journal = {Colloquium Mathematicae},
volume = {66},
year = {1993},
pages = {203-214},
zbl = {0824.53053},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p203bwm}
}
Cabrerizo, José; Fernández, Luis; Fernández, Manuel. On normal CR-submanifolds of S-manifolds. Colloquium Mathematicae, Tome 66 (1993) pp. 203-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p203bwm/
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