Add to ORKGWe construct the first examples of manifolds, the simplest one being S^3 x S^4 x R^5, which admit infinitely many complete nonnegatively curved metrics with pairwise nonhomeomorphic souls
In each dimension $4k+1\geq 9$, we exhibit infinite families of closed manifolds with fundamental gr...
We extend two known existence results to simply connected manifolds with positive sectional curvatu...
AbstractLet E1 and E2 be the total spaces of smooth, oriented vector bundles of rank k over the n-sp...
We establish a link between rational homotopy theory and the problem which vector bundles admit a co...
Abstract. A complete noncompact manifold M with nonnegative sectional curvature is diffeomorphic to ...
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...
Understanding the structure of a Riemannian Manifold based on information about its sectional curvat...
We show that the moduli space of nonnegatively curved metrics on each member of a large class of 2-c...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...
We describe a construction of Riemannian metrics of nonnegative sectional curvature on a closed smoo...
We show that in each dimension $4n+3$, $n\ge 1$, there exist infinite sequences of closed smooth si...
AbstractWe classify the total spaces of bundles over the four sphere with fiber a three sphere up to...
We provide several results on the existence of metrics of non-negative sectional curvature on vector...
We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy $\R P^...
In each dimension $4k+1\geq 9$, we exhibit infinite families of closed manifolds with fundamental gr...
We extend two known existence results to simply connected manifolds with positive sectional curvatu...
AbstractLet E1 and E2 be the total spaces of smooth, oriented vector bundles of rank k over the n-sp...
We establish a link between rational homotopy theory and the problem which vector bundles admit a co...
Abstract. A complete noncompact manifold M with nonnegative sectional curvature is diffeomorphic to ...
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...
Understanding the structure of a Riemannian Manifold based on information about its sectional curvat...
We show that the moduli space of nonnegatively curved metrics on each member of a large class of 2-c...
Abstract. Let V be an open manifold with complete nonnegatively curved metric such that the normal s...
We describe a construction of Riemannian metrics of nonnegative sectional curvature on a closed smoo...
We show that in each dimension $4n+3$, $n\ge 1$, there exist infinite sequences of closed smooth si...
AbstractWe classify the total spaces of bundles over the four sphere with fiber a three sphere up to...
We provide several results on the existence of metrics of non-negative sectional curvature on vector...
We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy $\R P^...
In each dimension $4k+1\geq 9$, we exhibit infinite families of closed manifolds with fundamental gr...
We extend two known existence results to simply connected manifolds with positive sectional curvatu...
AbstractLet E1 and E2 be the total spaces of smooth, oriented vector bundles of rank k over the n-sp...