Table of Contents
ISRN Geometry
Volume 2012, Article ID 804051, 25 pages
Review Article

On an Algebraical Computation of the Tensor and the Curvature for 3-Web

1École Nationale Supérieure Polytechnique, B.P. 8390, Yaoundé, Cameroon
2Département des Sciences Mathématiques, Université Montpellier II, Case courrier 051-Place Eugéne Bataillon 34095, Montpellier CEDEX 05, France
3The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Strada Costiera, II-34014 Trieste, Italy

Received 26 November 2011; Accepted 2 January 2012

Academic Editor: F. P. Schuller

Copyright © 2012 Thomas B. Bouetou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The algebraic methods are used in the web geometry, in particular in the 3-web. Along the line, we suggest a new, alternative algebraic method for computation of the quantities 1βˆ‡π‘™π‘Žπ‘–π‘—π‘˜, 2βˆ‡π‘™π‘Žπ‘–π‘—π‘˜, and π‘‘π‘–π‘—π‘˜π‘™π‘š by means of the embedding of local loops into Lie groups.