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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 183 - 194 (12page)
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초록· 키워드
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We prove that totally umbilical submanifold M of an extended quasi-recurren
manifold is also extended quasi-recurrent. If, moreover, M is conformally flat then, locally,
M is isometric to the manifold with known metric. Some curvature properties of such
submanifold are investigated. Making use of these results we shall prove the existence of
totally umbilical submanifold being pseudosymmetric in the sense of Ryszard Deszcz and
satisfying some other curvature conditions.
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등록된 정보가 없습니다.
참고문헌 (16)
참고문헌 신청
M. Belkhelfa / 2002 / some type of curvature conditions, in: PDEs, Submanifolds and Affine Differential Geometry / Banach Center Publication 57 : 179 ~ 194
M. C. Chaki / 1988 / On pseudo Ricci symmetric manifolds / Bulg. J. Phys 15 (6) : 526 ~ 531
M. Prvanov? / 1999 / Extended recurrent manifolds, (Russian) / Izv. Vyssh. Uchebn. Zaved. Mat translation in Russian Math (1) : 41 ~ 50
R. Deszcz / 1992 / On pseudosymmetric spaces / Bull. Soc. Math. Belg. Ser. A 44 : 1 ~ 34
S. Ewert-Krzemieniewski / / Totally umbilical submanifolds in some semi-Riemannian manifolds / to appear
M. C. Chaki / 1988 / On pseudo Ricci symmetric manifolds / Bulg. J. Phys 15 (6) : 526 ~ 531
M. Prvanov? / 1999 / Extended recurrent manifolds, (Russian) / Izv. Vyssh. Uchebn. Zaved. Mat translation in Russian Math (1) : 41 ~ 50
R. Deszcz / 1992 / On pseudosymmetric spaces / Bull. Soc. Math. Belg. Ser. A 44 : 1 ~ 34
S. Ewert-Krzemieniewski / / Totally umbilical submanifolds in some semi-Riemannian manifolds / to appear
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