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Real analytic structures on a symplectic manifold
Author(s):
Frank
Kutzschebauch;
Frank
Loose
Journal:
Proc. Amer. Math. Soc.
128
(2000),
3009-3016.
MSC (1991):
Primary 53C15;
Secondary 32C05
Posted:
April 28, 2000
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Abstract:
We prove that every symplectic manifold possesses a real analytic structure. Moreover this structure is unique up to isomorphism.
References:
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- ---, Eigentliche Wirkungen von Lie-Gruppen auf reell-analytischen Mannigfaltigkeiten. Schriftenreihe des Graduiertenkollegs Geometrie und Mathematische Physik, Ruhr- Universität Bochum, Heft 5 (1994)
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- [14]
- Whitney, H., Analytic extensions of differentiable functions defined in closed sets. Trans. Am. Math. Soc. 30 (1934), 63-89 CMP 95:18
- [15]
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- [16]
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Additional Information:
Frank
Kutzschebauch
Affiliation:
Mathematisches Institut der Universität, Rheinsprung 21, CH~--~4051 Basel, Switzerland
Address at time of publication:
Matematiska Institutionen, Box 480, S-751 06 Uppsala, Sweden
Email:
kutzsche@math.uu.se
Frank
Loose
Affiliation:
Mathematisches Institut der Universität, Auf der Morgenstelle~10, D~--~ 72076 Tübingen, Germany
Email:
frank.loose@uni-tuebingen.de
DOI:
10.1090/S0002-9939-00-05713-0
PII:
S 0002-9939(00)05713-0
Received by editor(s):
December 9, 1998
Posted:
April 28, 2000
Additional Notes:
The first author was partially supported by SNF (Schweizerische Nationalfonds)
Communicated by:
Leslie Saper
Copyright of article:
Copyright
2000,
American Mathematical Society
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