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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
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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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L. Biliotti, R. Exel, P. Piccione, D. V. Tausk. 2004-12-06. On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds. https://arxiv.org/abs/math/0412108

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