Kodai Mathematical Journal

Totally contact umbilical lightlike hypersurfaces of indefinite Sasakian manifolds

Fortuné Massamba

Full-text: Open access

Abstract

This paper investigates totally contact umbilical lightlike hypersurfaces which are tangent to the structure vector field. Theorems on Killing distributions, geodesibility of lightlike hypersurfaces are obtained. The geometrical configuration of such lightlike hypersurfaces and its screen distributions are established. We prove the non-existence of totally contact umbilical lightlike hypersurfaces and lightlike hypersurfaces with totally contact umbilical screen distributions in indefinite Sasakian space forms under some conditions. Some characterizations of totally contact geodesic lightlike hypersurfaces and screen distributions are also given.

Article information

Source
Kodai Math. J., Volume 31, Number 3 (2008), 338-358.

Dates
First available in Project Euclid: 6 November 2008

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1225980441

Digital Object Identifier
doi:10.2996/kmj/1225980441

Mathematical Reviews number (MathSciNet)
MR2475274

Zentralblatt MATH identifier
1160.53032

Citation

Massamba, Fortuné. Totally contact umbilical lightlike hypersurfaces of indefinite Sasakian manifolds. Kodai Math. J. 31 (2008), no. 3, 338--358. doi:10.2996/kmj/1225980441. https://projecteuclid.org/euclid.kmj/1225980441


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