Glasgow Mathematical Journal



SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS


J. L. Cabrerizo a1, A. Carriazo a1, L. M. Fernández a1 and M. Fernández a1 1
a1 Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apartado de Correos 1160, 41080 - Sevilla, Spain. Email:acarri@cica.es

Abstract

In this paper, we show new results on slant submanifolds of an almost contact metric manifold. We study and characterize slant submanifolds of K-contact and Sasakian manifolds. We also study the special class of three-dimensional slant submanifolds. We give several examples of slant submanifolds.

1991 Mathematics Subject Classification 53C15, 53C40.

(Received August 5 1998)



Footnotes

1 The authors are partially supported by the PAI project (Junta de Andalucía, Spain 1998).