English

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

Functional Analysis 2010-03-16 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.math/0412108,
  title  = {On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds},
  author = {L. Biliotti and R. Exel and P. Piccione and D. V. Tausk},
  journal= {arXiv preprint arXiv:math/0412108},
  year   = {2010}
}

Comments

LaTeX2e, amsart.cls, 18 pages, no figure