Curvature and symmetry of Milnor spheres.
Geodesics Satisfying General Boundary Conditions
Involution-invariant geodesics.
Contributions of rational homotopy theory to global problems in geometry
How to Conjugate C1-Close Group Actions.
Metric constraints on exotic spheres via Alexandrov geometry.
On Metrics on S2 All of Whose Geodesics Are Closed.
A radius sphere theorem.
On pinched manifolds with fundamental group
A generalization of Berger's rigidity theorem for positively curved manifolds
Jacobi Fields and Finsler Metrics on Compact Lie Groups with an Application to Differentiable Pinching Problems.
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres
In contrast to the homogeneous case, we show that there are compact cohomogeneity one manifolds that do not support invariant metrics of non-negative sectional curvature. In fact we exhibit infinite families of such manifolds including the exotic Kervaire spheres. Such examples exist for any codimension of the singular orbits except for the case when both are equal to two, where existence of non-negatively curved metrics is known.
Editorial note : “Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres”
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