Geodesics on the space of Lagrangian submanifolds in cotangent bundles

Author:
Darko Milinkovic

Journal:
Proc. Amer. Math. Soc. **129** (2001), 1843-1851

MSC (1991):
Primary 58E05; Secondary 57R57, 58F05

DOI:
https://doi.org/10.1090/S0002-9939-00-05851-2

Published electronically:
November 3, 2000

MathSciNet review:
1814118

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Darko Milinkovic**

Affiliation:
Department of Mathematics, University of California, Irvine, California 92697-3875

Address at time of publication:
Matematički Fakultet, Studentski trg 16, 11000 Belgrade, Serbia, Yugoslavia

Email:
dmilinko@math.uci.edu, milinko@matf.bg.ac.yu

DOI:
https://doi.org/10.1090/S0002-9939-00-05851-2

Received by editor(s):
September 21, 1999

Published electronically:
November 3, 2000

Communicated by:
Jozef Dodziuk

Article copyright:
© Copyright 2000
American Mathematical Society