On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds

Abstract

Using symplectic techniques and spectral analysis of smooth paths of self-adjoint operators, we characterize the set of conjugate instants along a geodesic in an infinite dimensional Riemannian Hilbert manifold.

arXiv commentLaTeX2e, amsart.cls, 18 pages, no figure