We study a Riemannian manifolds M with a f-structures. If the tangent bundle of the Riemannian manifolds is TM=DD⊥ dimD=2P,dimD⊥=q=n-2p≥1. We can define a generalized contact manifolds, get some property of it.
The purpose of this paper is to give a sufficient and necessary condition of totally geodesic on invariant submanifold of contact metric manifold and is to generalize the results in [3] and [4].
文摘We study a Riemannian manifolds M with a f-structures. If the tangent bundle of the Riemannian manifolds is TM=DD⊥ dimD=2P,dimD⊥=q=n-2p≥1. We can define a generalized contact manifolds, get some property of it.
文摘The purpose of this paper is to give a sufficient and necessary condition of totally geodesic on invariant submanifold of contact metric manifold and is to generalize the results in [3] and [4].
基金Supported by the Science Foundation of China University of PetroleumBeijing(2462015YQ0604)partially by the Personnel Training and Academic Development Fund(2462015QZDX02)
