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International Congress on Differential Geometry in memory of Alfred Gray (1939-1998)
September 18-23, 2000
Universidad del País Vasco
Bilbao, Spain

Organizers
M. Fernández (chairman), R. Ibáñez, M. Macho-Stadler

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On contact groupoids and Legendre bisections
by
Tomasz Rybicki
Dept. of Appl. Mathematics at AGH, Cracow, Poland

Oral Communication

By means of the convenient setting of global analysis it is observed that the group of global bisections of a Lie groupoid is a Lie group modeled on the space of sections of the associated algebroid. The Lie algebroid corresponding to a contact groupoid is identified with the algebroid of a Jacobi bundle over the space of units. This enables to introduce a Lie group structure on the group of Legendre bisections of a conact groupoid. Some conclusions concerning the group of Jacobi morphisms are also possible.

Date received: May 26, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadq-65.