Communications of the
Korean Mathematical Society
CKMS
Article
ALL ARTICLES
View
Commun. Korean Math. Soc. 1997; 12(4): 999-1006
Printed December 1, 1997
Copyright © The Korean Mathematical Society.
Conformally Flat cosymplectic Manifolds
Byung Hak Kim, In-Bae Kim
Kyung Hee University, Hankuk University of Foreign studies
We proved that if a fibred Riemannian space $\tilde M$ with cosymplectic structure is conformally flat, then $\tilde M$ is the locally product manifold of locally Euclidean spaces, that is locally Euclidean. Moreover, we investigated the fibred Riemannian space with cosymplectic structure when the Riemannian metric $\tilde g$ on $\tilde M$ is Einstein.
Keywords: fibred Riemannian space, cosymplectic manifold, conformally flat, critical Riemannian metric
MSC numbers: 53A30, 53B20
Article Tools
Stats or Metrics
Share this article on :
Related articles in CKMS
-
On almost quasi Ricci symmetric manifolds
2020; 35(2): 603-611
-
Cosymplectic conformal curvature tensor and spectrum of the Laplacian in cosymplectic manifolds
1997; 12(2): 333-346
-
On some classes of generalized quasi-Einstein manifolds
2009; 24(3): 415-424
-
On $\left(\epsilon \right)$-Lorentzian para-Sasakian manifolds
2012; 27(2): 297-306
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd