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arxiv: math/0412108 · v1 · submitted 2004-12-06 · 🧮 math.FA · math.DG

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

classification 🧮 math.FA math.DG
keywords dimensionalinfiniteriemannianalonganalysischaracterizeconjugateexponential
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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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