Groups of Transformations in Finslerian saces, Basic Concepts of Finslerian Geometry | An Axiomatic Approach to Tensors

Ram Bilas Misra

ISBN 10: 3844304355 / ISBN 13: 9783844304350

Edité par LAP LAMBERT Academic Publishing, 2011

Groups of Transformations in Finslerian saces, Basic Concepts of Finslerian Geometry | An Axiomatic Approach to Tensors | Ram Bilas Misra | Taschenbuch | 64 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783844304350 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. N° de réf. du vendeur 107100884

Synopsis :

Infinitesimal transformations defining motions, affine motions, projective motions, conformal transformations and curvature collineations in various types of Finslerian spaces are discussed here. The notation and symbolism used is mainly based on [60] and author's works [24] ? [42]. The present article offers an exposition of the axiomatic definition of tensors and their further developments from this very standpoint. Various types of tensor sand their examples have been included. A systematic study of manifolds endowed with a metric defined by the positive fourth-root of a 4th degree differential form was considered by P. Finsler in 1918, after whom such manifolds were eventually named. Thereafter, several geometers: E. Cartan, L. Berwald, J.A. Schouten, J. Douglas, W. Barthel, H. Rund, A. Lchnerowicz, A. Kawaguchi, H. Busemann, A. Moór, K. Takano, S.S. Chern, M.S. Knebelman etc. explored this domain extensively. The first treatise on the subject (in English) was published by Rund in 1959. Main aspects of the theory are presented here more elegantly and briefly.

À propos de l?auteur: Prof Dr RB Misra has been teaching Maths at UG/PG levels since 1962. Starting from the Uni of Allahabad (4th oldest Uni in the Indian sub-continent) he taught at various universities within India and abroad.He published over 150 Res. Articles in Maths in leading journals of international repute and has been a regular Reviewer in MR and Zbl.

Détails bibliographiques

Titre : Groups of Transformations in Finslerian ...
Éditeur : LAP LAMBERT Academic Publishing
Date d'édition : 2011
Reliure : Taschenbuch
Etat : Neu