Exponential maps of Sobolev metrics on loop groups
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- by Gerard Misiołek PDF
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Abstract:
We find conditions for the exponential map on a weak riemannian Hilbert manifold to be a nonlinear Fredholm map of index zero and apply the result to left-invariant Sobolev metrics on loop groups.References
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Additional Information
- Gerard Misiołek
- Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- Email: misiolek@math.nd.edu
- Received by editor(s): November 3, 1997
- Published electronically: April 15, 1999
- Communicated by: Józef Dodziuk
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2475-2482
- MSC (1991): Primary 58B20; Secondary 22E65
- DOI: https://doi.org/10.1090/S0002-9939-99-05063-7
- MathSciNet review: 1626450