Add to ORKGWe study the space of complete Riemannian metrics of nonnegative curvature on the sphere equipped with C^{k+\alpha} topology. We show the space is homogenous for k>=2. If k is infinite, we show that the space is homeomorphic to the separable Hilbert space. We also prove for finite k, the space minius any compact subset is weakly contractible.Ph.D
We provide a general contractibility criterion for subsets of Riemannian metrics on the disc. For in...
Cheeger’s finiteness theorem bounds the number of diffeomorphism types of manifolds with bounded cur...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...
Abstract. This paper addresses Cheeger and Gromoll’s question of which vector bundles admit a comple...
We describe a construction of Riemannian metrics of nonnegative sectional curvature on a closed smoo...
Abstract. A complete noncompact manifold M with nonnegative sectional curvature is diffeomorphic to ...
Abstract. In this paper, we study complete Riemannian manifolds with nonnegative Ricci curvature and...
We show that a complete submanifold M in codimension three with nonnegative sectional curvature whic...
The existence of a metric with nonnegative curvature in an open Riemannian manifold sets important r...
We discuss a few of the metrics that are used in complex analysis and potential theory, including t...
We discuss a few of the metrics that are used in complex analysis and potential theory, including t...
We describe a construction of Riemannian metrics of nonnegative sectional curvature on a closed smoo...
Abstract. Let S be a complete flat surface, such as the Euclidean plane. We determine the homeomorph...
Abstract. We derive and study necessary and sufficient conditions for an S1-bundle to admit an invar...
We provide a general contractibility criterion for subsets of Riemannian metrics on the disc. For in...
Cheeger’s finiteness theorem bounds the number of diffeomorphism types of manifolds with bounded cur...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...
Abstract. This paper addresses Cheeger and Gromoll’s question of which vector bundles admit a comple...
We describe a construction of Riemannian metrics of nonnegative sectional curvature on a closed smoo...
Abstract. A complete noncompact manifold M with nonnegative sectional curvature is diffeomorphic to ...
Abstract. In this paper, we study complete Riemannian manifolds with nonnegative Ricci curvature and...
We show that a complete submanifold M in codimension three with nonnegative sectional curvature whic...
The existence of a metric with nonnegative curvature in an open Riemannian manifold sets important r...
We discuss a few of the metrics that are used in complex analysis and potential theory, including t...
We discuss a few of the metrics that are used in complex analysis and potential theory, including t...
We describe a construction of Riemannian metrics of nonnegative sectional curvature on a closed smoo...
Abstract. Let S be a complete flat surface, such as the Euclidean plane. We determine the homeomorph...
Abstract. We derive and study necessary and sufficient conditions for an S1-bundle to admit an invar...
We provide a general contractibility criterion for subsets of Riemannian metrics on the disc. For in...
Cheeger’s finiteness theorem bounds the number of diffeomorphism types of manifolds with bounded cur...
In this paper we study the global geometric properties of an open manifold with nonnegative sectiona...