Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2017; 54(2): 429-442

Online first article March 10, 2017      Printed March 31, 2017

https://doi.org/10.4134/BKMS.b151004

Copyright © The Korean Mathematical Society.

Screen isotropic leaves on lightlike hypersurfaces of a Lorentzian manifold

Mehmet G\"{u}lbahar

Siirt University

Abstract

In the present paper, screen isotropic leaves on lightlike hypersurfaces of a Lorentzian manifold are introduced and studied which are inspired by the definition of isotropic immersions in the Riemannian context. Some examples of such leaves are mentioned. Furthermore, some relations involving curvature invariants are obtained.

Keywords: isotropic immersion, lightlike hypersurface, Lorentzian manifold

MSC numbers: Primary 53C42, 53C50