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math.DG2004
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).
math.DG2003
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…
math.DG2002
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.
math.DG2002
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…