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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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Loop-theoretic foundations of Differential geometry.
by
Lev Sabinin
University of Quintana Roo. Mexico

Oral Communication

In the first part of our lecture we survey the approach to Differential geometry based on the smooth quasigroups and loops theory according to M. Kikkawa and L. Sabinin.

This construction is basic for the non-smooth approach to geometry. There are many open problems in the field as well as good promises for future applications.

In the second part of our lecture we outline one possible approach to the non-smooth geometry and the analysis, helpful, in our opinion, for Quantum gravity.

Date received: May 29, 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-79.