Add to ORKG讨论了具非负典率的完备非紧黎曼流形M上平行射线的性质,证明了此时两平行射线对应于M上的同一个Busemann函数.同时证明了具完全平行性质的非负曲率的完备非紧黎曼流形M=Rk×S,其中S为核心.The parallel properties of the rays in a complete noncompact Riemannian manifoldM were discussed in this paper, It is proved that the Busemann functions corresponding to any given two parallel rays are just the same as each other in the sense of H.Wu.Moreover,M=R~k×S is provided whereM is the complete parallel properties andS is the soul ofM
Une variété riemannienne est dite rigide lorsque la longueur des géodésiques périodiques (cas d...
Let R be the Riemann curvature tensor of a pseudo-Riemannian manifold (M; gM) of signature (p; q) on...
summary:In this paper, we consider a Riemannian foliation that admits a nontrivial parallel or harmo...
Massachusetts Institute of Technology. Dept. of Mathematics. Thesis. 1965. Ph.D.Ph.D
Understanding the structure of a Riemannian Manifold based on information about its sectional curvat...
Let M ” be a smooth complete oriented Riemannian manifold of nonnegative sectional curvature, and le...
Abstract. We study a Riemannian manifold M admitting a semisymmetric metric con-nection ∇ ̃ such tha...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...
In this note we are concerned with metrics of nonnegative sectional curvature in open (i.e, complete...
ABSTRACT. The object of the paper is to study some compact submaniforlds in the Euclidean space Rn w...
Special structures often arise naturally in Riemannian geometry. They are usually given by the exist...
Let M n be a complete, non-compact and C ∞-smooth Riemannian manifold with nonnegative sectional cur...
WOS: 000422670000002In this chapter, we give brief information about geometric structures which will...
The purpose of this paper is to classify those Riemannian manifolds with parallel Ricci tensor which...
International audienceWe compare here the horoboundary of an the visual one of a (non necessarily si...
Une variété riemannienne est dite rigide lorsque la longueur des géodésiques périodiques (cas d...
Let R be the Riemann curvature tensor of a pseudo-Riemannian manifold (M; gM) of signature (p; q) on...
summary:In this paper, we consider a Riemannian foliation that admits a nontrivial parallel or harmo...
Massachusetts Institute of Technology. Dept. of Mathematics. Thesis. 1965. Ph.D.Ph.D
Understanding the structure of a Riemannian Manifold based on information about its sectional curvat...
Let M ” be a smooth complete oriented Riemannian manifold of nonnegative sectional curvature, and le...
Abstract. We study a Riemannian manifold M admitting a semisymmetric metric con-nection ∇ ̃ such tha...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...
In this note we are concerned with metrics of nonnegative sectional curvature in open (i.e, complete...
ABSTRACT. The object of the paper is to study some compact submaniforlds in the Euclidean space Rn w...
Special structures often arise naturally in Riemannian geometry. They are usually given by the exist...
Let M n be a complete, non-compact and C ∞-smooth Riemannian manifold with nonnegative sectional cur...
WOS: 000422670000002In this chapter, we give brief information about geometric structures which will...
The purpose of this paper is to classify those Riemannian manifolds with parallel Ricci tensor which...
International audienceWe compare here the horoboundary of an the visual one of a (non necessarily si...
Une variété riemannienne est dite rigide lorsque la longueur des géodésiques périodiques (cas d...
Let R be the Riemann curvature tensor of a pseudo-Riemannian manifold (M; gM) of signature (p; q) on...
summary:In this paper, we consider a Riemannian foliation that admits a nontrivial parallel or harmo...