عنوان

Finsler Geometry, Relativity and Gauge Theories

شابک

9789400953291

شابک

9789401088534

شماره

b409160

عنوان اصلي

Finsler Geometry, Relativity and Gauge Theories

نام عام مواد

[Book]

نام نخستين پديدآور

by G. S. Asanov.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Springer Netherlands,

تاریخ نشرو بخش و غیره

1985.

عنوان فروست

Fundamental Theories of Physics, A New International Book Series on the Fundamental Theories of Physics: Their Clarification, Development and Application ;

مشخصه جلد

12

متن يادداشت

A. Motivation and Outline of the Book -- B. Introduction to Finsler Geometry -- 1/Primary Mathematical Definitions -- 2/Special Finsler Spaces -- C. Basic Equations -- 3/Implications of the Invariance Identities -- 4/Finslerian Approach Based on the Concept of Osculation -- 5/Parametrical Representation of Physical Fields. The Relevance to Gauge Theories -- D. Additional Observations -- 6/Classical Mechanics from the Finslerian Viewpoint -- 7/Finslerian Refinement of Special Relativity Theory -- Concluding Remark -- Appendix A Direction-Dependent Connection and Curvature Forms -- Problems -- Notes -- Appendix B/ General Gauge Field Equations Associated with Curved Internal Space -- B. 1. Introduction -- B. 2. The Parametrical Representation -- B. 3. Associated Gauge Tensors -- B. 4. Identities Satisfied by the Gauge Tensors -- B. 5. Variational Principle for the Parametrical Gauge Fields -- B. 6. General Gauge-Covariant Physical Field Equations -- B. 8. Implications of Metric Conditions -- B. 9. Specification of the Internal Metric Tensor -- B.10. Transition to the Parametrical Finslerian Limit -- B.11. Proper Finslerian Gauge Transformations -- B.12. Flat Internal Space -- Problems -- Note -- Solutions of Problems -- List of Publications on Finsler Geometry -- Biographies.

بدون عنوان

0

متن يادداشت

The methods of differential geometry have been so completely merged nowadays with physical concepts that general relativity may well be considered to be a physical theory of the geometrical properties of space-time. The general relativity principles together with the recent development of Finsler geometry as a metric generalization of Riemannian geometry justify the attempt to systematize the basic techniques for extending general relativity on the basis of Finsler geometry. It is this endeavour that forms the subject matter of the present book. Our exposition reveals the remarkable fact that the Finslerian approach is automatically permeated with the idea of the unification of the geometrical space-time picture with gauge field theory - a circumstance that we try our best to elucidate in this book. The book has been written in such a way that the reader acquainted with the methods of tensor calculus and linear algebra at the graduate level can use it as a manual of Finslerian techniques orientable to applications in several fields. The problems attached to the chapters are also intended to serve this purpose. This notwithstanding, whenever we touch upon the Finslerian refinement or generalization of physical concepts, we assume that the reader is acquainted with these concepts at least at the level of the standard textbooks, to which we refer him or her.

شماره استاندارد بين المللي کتاب و موسيقي

9789401088534

عنوان

Springer eBooks

موضوع مستند نشده

Physics.

مستند نام اشخاص تاييد نشده

Asanov, G. S.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301081900.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y