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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 979 - 991 (13page)
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초록· 키워드
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The object of the present paper is to study N(k)-quasi-Einstein manifolds.
We study an N(k)-quasi-Einstein manifold satisfying the curvature conditions $R(\xi ,X)\cdot \mathcal{Z}=0$,$\mathcal{Z}(X,\xi )\cdot R=0$, and $P(\xi ,X)\cdot \mathcal{Z}=0$, where $R$, $P$ and $\mathcal{Z}$ denote the Riemannian curvature tensor,the projective curvature tensor and $\mathcal{Z}$ tensor respectively. Next we prove that the curvature condition$C\cdot \mathcal{Z}=0$ holds in an N(k)-quasi-Einstein manifold, where $C$ is the conformal curvature tensor.
We also study $\mathcal{Z}$-recurrent N(k)-quasi-Einstein manifolds. Finally, we construct an example of an N(k)-quasi-Einsteinmanifold and mention some physical examples.
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참고문헌 (38)
참고문헌 신청
C.-L. Bejan / 2007 / Characterizations of quasi-Einstein manifolds / An. Stiint. Univ. Al. I. Cuza Iasi. Mat LIII:67~72
C.-L. Bejan / 2007 / Generalized Einstein manifolds / WSPC-Proceeding Trim Size :47~54
A. L. Besse / 1987 / Einstein manifolds, Ergeb. Math. Grenzgeb., 3. Folge, Bd. 10 / Springer-Verlag
A. Bhattacharyya / 2009 / Some types of generalized quasi-Einstein, Pseudo Ricci-symmetric and Weakly symmetric manifold / An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N. S.) LV:145~151
A. Bhattacharyya / 2007 / Mixed generalized quasi-Einstein manifold and some properties / An. Stiint. Univ. Al. I. Cuza Iasi. Mat LIII:137~148
C.-L. Bejan / 2007 / Generalized Einstein manifolds / WSPC-Proceeding Trim Size :47~54
A. L. Besse / 1987 / Einstein manifolds, Ergeb. Math. Grenzgeb., 3. Folge, Bd. 10 / Springer-Verlag
A. Bhattacharyya / 2009 / Some types of generalized quasi-Einstein, Pseudo Ricci-symmetric and Weakly symmetric manifold / An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N. S.) LV:145~151
A. Bhattacharyya / 2007 / Mixed generalized quasi-Einstein manifold and some properties / An. Stiint. Univ. Al. I. Cuza Iasi. Mat LIII:137~148
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