Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

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
Published electronically: January 17, 2012
MathSciNet review: 2910774
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 53D35, 57R17

Retrieve articles in all journals with MSC (2010): 53D35, 57R17


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
Received by editor(s): October 21, 2010
Received by editor(s) in revised form: January 5, 2011, March 23, 2011, and March 24, 2011
Published electronically: 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 28 years after publication.