The exponential map on the free loop space is Fredholm

DOI10.1007/s000390050032zbMath0906.58002OpenAlexW2305617506MaRDI QIDQ1380456

Gerard Misiołek

Publication date: 31 January 1999

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000390050032

zbMATH Keywords

conjugate pointsexponential mapfree loop spaceHilbert (Riemannian) manifolds

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items

Fredholm properties of Riemannian exponential maps on diffeomorphism groups, Riemannian Hilbert Manifolds, Properly discontinuous actions on Hilbert manifolds, Diffeomorphism groups of compact manifolds, On the singularities of the exponential map in infinite dimensional Riemannian manifolds, Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics