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Groups of Transformations in Finslerian Saces, Basic Concepts of Finslerian Geometry (Paperback)
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Groups of Transformations in Finslerian Saces, Basic Concepts of Finslerian Geometry (Paperback)
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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. Moor, 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.
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
Germany |
Release date: |
February 2011 |
First published: |
February 2011 |
Authors: |
Ram Bilas Misra
|
Dimensions: |
229 x 152 x 4mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
64 |
ISBN-13: |
978-3-8443-0435-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-8443-0435-5 |
Barcode: |
9783844304350 |
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