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

L. Biliotti, R. Exel, P. Piccione, D. V. Tausk

math.FAarXiv:math/0412108

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.

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