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2nd International Conference on Symmetry and Antisymmetry in Mathematics, Formal Languages and Computer Science
June 29 - July 1, 2000
"Transylvania" University of Brasov
Brasov, Romania

Organizers
Gabriel V. Orman, Radu Paltanea, Dorin Bocu, N. Pascu, E. Popescu, O. Popescu, I. Radomir, L. Sangeorzan, M. Neagu, E. Paltanea, D. Raducanu

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Nondegenerate Symmetrical Structures in the k-Osculator Bundle
by
Monica Purcaru
Transilvania University of Brasov
Coauthors: Mirela Tîrnoveanu, Nicoleta Aldea

Motivated by concrete problems in variational calculation, higher order Lagrange geometry, based on the k-osculator bundle notion, has witnessed a wide acknowledgment due to the papers published by Radu Miron and Gheorghe Atanasiu. The applications of this theory in Mechanics and Phisics are considerable. In the present paper we introduce the notion of general metrical N-linear connection in the k-osculator bundle, we determine the set of all general metrical N-linear connections in various forms, we study the group of transformations of some special classes of general metrical N-linear connections.

The terminology and notations are essentially based by M. Matsumoto's book.

Date received: March 17, 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 # caet-41.