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

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

2004-12-06

arxiv.org/abs/math/0412108v1

Math. Ann., 336 (2006), 247 - 267

Mathematics

Functional Analysis

LaTeX2e, amsart.cls, 18 pages, no figure

Scientific paper

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.

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