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Geodesics on the space of Lagrangian submanifolds in cotangent bundles
Author(s):
Darko
Milinkovic
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1843-1851.
MSC (1991):
Primary 58E05;
Secondary 57R57, 58F05
Posted:
November 3, 2000
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Abstract:
We prove that the space of Hamiltonian deformations of zero section in a cotangent bundle of a compact manifold is locally flat in the Hofer metric and we describe its geodesics.
References:
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Additional Information:
Darko
Milinkovic
Affiliation:
Department of Mathematics, University of California, Irvine, California 92697-3875
Address at time of publication:
Matematicki Fakultet, Studentski trg 16, 11000 Belgrade, Serbia, Yugoslavia
Email:
dmilinko@math.uci.edu, milinko@matf.bg.ac.yu
DOI:
10.1090/S0002-9939-00-05851-2
PII:
S 0002-9939(00)05851-2
Received by editor(s):
September 21, 1999
Posted:
November 3, 2000
Communicated by:
Jozef Dodziuk
Copyright of article:
Copyright
2000,
American Mathematical Society
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