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Bounded symplectic diffeomorphisms and split flux groups
Authors:
Carlos Campos-Apanco and Andrés Pedroza
Journal:
Proc. Amer. Math. Soc. 140 (2012), 2883-2892
MSC (2010):
Primary 53D35, 57R17
Posted:
January 17, 2012
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Abstract: We prove the bounded isometry conjecture of F. Lalonde and L. Polterovich for a special class of closed symplectic manifolds. As a byproduct, it is shown that the flux group of a product of these special symplectic manifolds is isomorphic to the direct sum of the flux group of each symplectic manifold.
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Additional Information
Carlos Campos-Apanco
Affiliation:
CIMAT, Jalisco S/N, Col. Valenciana, Guanajuato, Gto., Mexico 36240
Email:
carlosca@cimat.mx
Andrés Pedroza
Affiliation:
Facultad de Ciencias, Universidad de Colima, Bernal Díaz del Castillo No. 340, Colima, Col., Mexico 28045
Email:
andres_pedroza@ucol.mx
DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11162-1
PII:
S 0002-9939(2012)11162-1
Received by editor(s):
October 21, 2010
Received by editor(s) in revised form:
January 5, 2011; March 23, 2011; and March 24, 2011
Posted:
January 17, 2012
Additional Notes:
The authors were supported by CONACYT grant No. 50662.
Communicated by:
Daniel Ruberman
Article copyright:
© Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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