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Exponential maps of Sobolev metrics on loop groups
Author(s):
Gerard
Misiolek
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2475-2482.
MSC (1991):
Primary 58B20;
Secondary 22E65
Posted:
April 15, 1999
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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
Misiolek
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Email:
misiolek@math.nd.edu
DOI:
10.1090/S0002-9939-99-05063-7
PII:
S 0002-9939(99)05063-7
Keywords:
Exponential map,
Fredholm operators,
loop groups
Received by editor(s):
November 3, 1997
Posted:
April 15, 1999
Communicated by:
Józef Dodziuk
Copyright of article:
Copyright
1999,
American Mathematical Society
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