Add to ORKGThe paper is devoted to the proof of the following Theorem 1.1 LetM be an open ( = complete, connected, noncompact, with no boundary) Riemannian manifold of nonnegative sectional curvature and S, a soul of M. Then M is diffeomorphic to the space ν(S) of the normal bundle of the soul
Abstract. In this paper we will show that any complete manifold of non-negative curvature has a flat...
Abstract. The first section of this paper provides an improvement upon known finiteness theorems for...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...
Understanding the structure of a Riemannian Manifold based on information about its sectional curvat...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...
Let M n be a complete, non-compact and C ∞-smooth Riemannian manifold with nonnegative sectional cur...
In this note we are concerned with metrics of nonnegative sectional curvature in open (i.e, complete...
Abstract. A complete noncompact manifold M with nonnegative sectional curvature is diffeomorphic to ...
The existence of a metric with nonnegative curvature in an open Riemannian manifold sets important r...
Abstract. The volume growth of an open manifold of nonnegative sectional curvature is proven to be b...
Abstract. An open manifold M with nonnegative sectional cur-vature contains a compact totally geodes...
We extend two known existence results to simply connected manifolds with positive sectional curvatu...
We construct the first examples of manifolds, the simplest one being S^3 x S^4 x R^5, which admit in...
Abstract. In this paper, we study complete open manifolds with sectional curvature bounded from belo...
Abstract. In this paper we will show that any complete manifold of non-negative curvature has a flat...
Abstract. The first section of this paper provides an improvement upon known finiteness theorems for...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...
Understanding the structure of a Riemannian Manifold based on information about its sectional curvat...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...
Let M n be a complete, non-compact and C ∞-smooth Riemannian manifold with nonnegative sectional cur...
In this note we are concerned with metrics of nonnegative sectional curvature in open (i.e, complete...
Abstract. A complete noncompact manifold M with nonnegative sectional curvature is diffeomorphic to ...
The existence of a metric with nonnegative curvature in an open Riemannian manifold sets important r...
Abstract. The volume growth of an open manifold of nonnegative sectional curvature is proven to be b...
Abstract. An open manifold M with nonnegative sectional cur-vature contains a compact totally geodes...
We extend two known existence results to simply connected manifolds with positive sectional curvatu...
We construct the first examples of manifolds, the simplest one being S^3 x S^4 x R^5, which admit in...
Abstract. In this paper, we study complete open manifolds with sectional curvature bounded from belo...
Abstract. In this paper we will show that any complete manifold of non-negative curvature has a flat...
Abstract. The first section of this paper provides an improvement upon known finiteness theorems for...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...