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2015 Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms
Dae Ho Jin
J. Appl. Math. 2015: 1-9 (2015). DOI: 10.1155/2015/259146

Abstract

We study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M - ( f 1 , f 2 , f 3 ) , with indefinite trans-Sasakian structure of type ( α , β ) , subject to the condition that the structure vector field of M - is tangent to M . First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type ( α , β ) . Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form.

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Dae Ho Jin. "Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms." J. Appl. Math. 2015 1 - 9, 2015. https://doi.org/10.1155/2015/259146

Information

Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1346.53021
MathSciNet: MR3335445
Digital Object Identifier: 10.1155/2015/259146

Rights: Copyright © 2015 Hindawi

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