Add to ORKGThe existence of a metric with nonnegative curvature in an open Riemannian manifold sets important restrictions on its structure. For example, they contain a compact, totally geodesic submanifold S called the soul so that the total space is diffeomorphic to its normal bundl
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
We shall discuss Riemannian metrics of fixed diameter and controlled lower curvature bound. As in [3...
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...
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 ...
Abstract. An open manifold M with nonnegative sectional cur-vature contains a compact totally geodes...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...
When does a manifold admit a metric with positive sectional curvature? This is one of the most funda...
Understanding the structure of a Riemannian Manifold based on information about its sectional curvat...
The paper is devoted to the proof of the following Theorem 1.1 LetM be an open ( = complete, connect...
Abstract. This paper addresses Cheeger and Gromoll’s question of which vector bundles admit a comple...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
We shall discuss Riemannian metrics of fixed diameter and controlled lower curvature bound. As in [3...
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...
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 ...
Abstract. An open manifold M with nonnegative sectional cur-vature contains a compact totally geodes...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...
When does a manifold admit a metric with positive sectional curvature? This is one of the most funda...
Understanding the structure of a Riemannian Manifold based on information about its sectional curvat...
The paper is devoted to the proof of the following Theorem 1.1 LetM be an open ( = complete, connect...
Abstract. This paper addresses Cheeger and Gromoll’s question of which vector bundles admit a comple...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
We shall discuss Riemannian metrics of fixed diameter and controlled lower curvature bound. As in [3...