Positive Pinching and Injectivity Radius
Xiaochun Rong,
Rutgers University
Wednesday, February 28
2:45-3:45 pm, Room 4419
In a Riemannian manifold, the injectivity radius is
the largest radius of a metric ball at any point which
is homeomorphic to a Euclidean ball. A basic problem in
Riemannian geometry is to bound the injectivity radius in terms
of curvature conditions such that any metric ball of this radius
is diffeomorphic. This talk concerns with the estimate for
the injectivity radius of a Riemannian manifold whose
sectional curvature is between two positive numbers.