Abstract
AbstractWe exhibit some sufficient conditions ensuring the non-compactness of a locally homogeneous, regular, contact metric manifold, under suitable assumptions on the Jacobi operator of the Reeb vector field.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
Reference11 articles.
1. Blair, D.E.: Riemannian geometry of contact and symplectic manifolds, 2nd edn. Progress in Mathematics 203. Birkhäuser, Boston (2010)
2. Blair, D.E., Koufogiorgos, T., Papantoniou, B.J.: Contact metric manifolds satisfying a nullity condition. Israel J. Math. 91, 189–214 (1995)
3. Blair, D.E., Perrone, D.: Conformally Anosov flows in contact metric geometry. Balkan J. Geom. Appl. 3, 33–46 (1998)
4. Boeckx, E.: A class of locally $$\varphi $$-symmetric contact metric spaces. Arch. Math. 72, 466–472 (1999)
5. Boeckx, E.: A full classification of contact metric $$(\kappa,\mu )$$-spaces. Illinois J. Math. 44, 212–219 (2000)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献