We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive sectional curvature which admit isometric actions by SU(2) or SO(3). We show that their Euler characteristic agrees with that of the known examples, i.e. S6, CP3, the Wallach space SU(3)=T2 and the biquotient SU(3)==T2. We also classify, up to equivariant dieomorphism, certain actions without exceptional orbits and show that there are strong restrictions on the exceptional strata
We study closed, simply connected manifolds with positive $2^\mathrm{nd}$-intermediate Ricci curvatu...
We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost...
We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost...
We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive se...
We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive se...
We investigate questions concerning symmetries and Riemannian metrics of positive or non-negative cu...
We investigate questions concerning symmetries and Riemannian metrics of positive or non-negative cu...
This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published arti...
Let M be a simply connected compact 6-manifold of positive sectional curvature. If the identity comp...
We consider nonnegatively curved 4-manifolds that admit effective isometric actions by finite groups...
We consider nonnegatively curved 4-manifolds that admit effective isometric actions by finite groups...
This thesis is an overview of the geometry of nearly Kähler six-manifolds. A nearly Kähler structure...
Abstract. A 1-invariant torus-action on a manifold M is a Tk-action on the universal covering which ...
Suppose the four dimensional torus T4 acts effectively on a 6-manifold M so that the orbit space M* ...
AbstractSuppose the four dimensional torus T4 acts effectively on a 6-manifold M so that the orbit s...
We study closed, simply connected manifolds with positive $2^\mathrm{nd}$-intermediate Ricci curvatu...
We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost...
We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost...
We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive se...
We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive se...
We investigate questions concerning symmetries and Riemannian metrics of positive or non-negative cu...
We investigate questions concerning symmetries and Riemannian metrics of positive or non-negative cu...
This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published arti...
Let M be a simply connected compact 6-manifold of positive sectional curvature. If the identity comp...
We consider nonnegatively curved 4-manifolds that admit effective isometric actions by finite groups...
We consider nonnegatively curved 4-manifolds that admit effective isometric actions by finite groups...
This thesis is an overview of the geometry of nearly Kähler six-manifolds. A nearly Kähler structure...
Abstract. A 1-invariant torus-action on a manifold M is a Tk-action on the universal covering which ...
Suppose the four dimensional torus T4 acts effectively on a 6-manifold M so that the orbit space M* ...
AbstractSuppose the four dimensional torus T4 acts effectively on a 6-manifold M so that the orbit s...
We study closed, simply connected manifolds with positive $2^\mathrm{nd}$-intermediate Ricci curvatu...
We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost...
We prove that if a closed, smooth, simply-connected 4-manifold with a circle action admits an almost...