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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The last three authors are partially sponsored by CNPq.
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Biliotti, L., Exel, R., Piccione, P. et al. On the Singularities of the Exponential Map in Infinite Dimensional Riemannian Manifolds. Math. Ann. 336, 247–267 (2006). https://doi.org/10.1007/s00208-006-0001-2
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DOI: https://doi.org/10.1007/s00208-006-0001-2