Ph.D. Tezi Görüntüleme

Student:	Gül TUĞ
Supervisor:	Doç. Dr. Yasemin SAĞIROĞLU
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University Turkey

Title of the Thesis:	Lightlike Submanifolds And Null Scroll Hypersurfaces
Level:	Ph.D.
Acceptance Date:	17/2/2017
Number of Pages:	60
Registration Number:	Di1170

Summary:

PhD. Thesis

SUMMARY

LIGHTLIKE SUBMANIFOLDS AND NULL SCROLL HYPERSURFACES

Karadeniz Technical University

The Graduate School of Natural and Applied Sciences

Mathematics Graduate Program

Supervisor: Doç. Dr. Yasemin SAĞIROĞLU

2017, 60 Pages

In this thesis, the second fundamental form is analyzed for the lightlike hypersurfaces along spacelike submanifolds and it is investigated the screen conformality of these hypersurfaces. Also, the null scroll hypersurfaces along lightlike submanifolds in are described and some geometric properties of them are studied. For these hypersurfaces, by investigating the conditions for being totally geodesic and totally umbilic, it is obtained new results relating them.

Key Words: Spacelike submanifolds, Lightlike hypersurfaces, Lightlikesubmanifolds, Null Scroll hypersurfaces.