5 papers
Obstructions to Positive Curvature on Homogeneous Bundles
Kristopher Tapp
Examples of almost-positively and quasi-positively curved spaces of the form M=H((G,h)xF) were discovered recently. Here, h is a left-invariant metric on a compact Lie group G, F i…
Invariant metrics with nonnegative curvature on compact Lie groups
Nathan Brown, Rachel Finck, Matthew Spencer +2
We classify left invariant metrics with nonnegative curvature on SO(3) and U(2).
Quasi-positive curvature on homogeneous bundles
Kristopher Tapp
We provide new examples of manifolds which admit a Riemannian metric with sectional curvature nonnegative, and strictly positive at one point. Our examples include the unit tangent…
Nonnegatively curved metrics on S^2xR^2
Detlef Gromoll, Kristopher Tapp
We classify the complete metrics of nonnegative sectional curvature on M^2xR^2, where M^2 is any compact 2-manifold.
Rigidity for Nonnegatively Curved Metrics on S^2xR^3
Kristopher Tapp
We address the question: how large is the family of complete metrics with nonnegative sectional curvature on S^2xR^3? We classify the connection metrics, and give several examples…