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SLANT SUBMANIFOLDS IN SASAKIANMANIFOLDS

Published online by Cambridge University Press:  07 August 2001

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

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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 1 , March 2000 , pp. 125 - 138
Copyright
2000 Glasgow Mathematical Journal Trust