SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

• 발행기관: 충청수학회
• 저자명: Mobin Ahmad Jae Bok Jun
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 653~665쪽, 전체 13쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

We de¯ne a semi-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we consider sub-manifolds of an almost r-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection and obtain Gauss and Codazzi equations, Weingarten equation and curvature tensor for submanifolds of an almost r-paracontact Riemannian manifold en- dowed with a semi-symmetric non-metric connection.

목차

1. Introduction

2. Preliminaries

3. Totally geodesic and totally umbilical hypersurfaces

4. Gauss, Weingarten and Codazzi equations

5. Submanifolds of codimension 2

6. Totally geodesic and totally umbilical submanifolds

7. Curvature tensor and Weingarten equations

8. Riemannian curvature tensor for semi-symmetric non-metric connection

References