논문KCI 등재
On semi-Riemannian manifolds satisfying the second Bianchi identity
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper we introduce new notions of Ricci-like tensor and many kind of curvature-like tensors suchthat concircular, projective, or conformal curvature-like tensors defined on semi-Riemannian manifolds.Moreover, we give some geometric conditions which are equivalent to the {it Codazzi tensor}, the {it Weyl tensor},or the {it second Bianchi identity} concerned with such kind of curvature-like tensors respectively and also give ageneralization of Weyl's Theorem given in [18] and [19].
관련 논문AI추천
On Generalized Quasi Einstein ManifoldsG. C. Ghosh, U. C. De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호On $N(k)$-quasi Einstein manifolds김정식, Mukut Mani Tripathi대한수학회 · 대한수학회논문집2007 · 제22권 제3호On a Type of Semi-Symmetric Non-Metric Connection on Riemannian ManifoldsAjit Barman경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Null Curves in a Semi-Riemannian Manifold of Index 2진대호한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제4호On Recurrent Riemannian ManifoldsQuddus Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제2호On the concircular curvature tensor of a contact metric manifoldD.E. Blair, Jeong-Sik Kim, Mukut Mani Tripathi대한수학회 · 대한수학회지2005 · 제42권 제5호
이 간행물의 다른 논문 (7건)
Highest weight vectors of irreducible representations of the quantum superalgebra $\uq\left(gl(m,n) \right)$문동호pp. 1-28Almost stability of the Mann iteration method with errors for strictly hemi-contractive operators in smooth Banach spaces심수학, Z. Liu, 강신민pp. 29-40Continuity for Commutators of Littlewood-Paley Operators on Certain Hardy spacesLiu Lanzhepp. 41-60Conjugate points on the quaternionic Heisenberg group장창림, Junkon Kim, 박건, 김연욱pp. 61-72A generalized sequential operator-valued function space integral김병수, 장건수, Cheong Hee Parkpp. 73-86