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Finsler Geometry, Relativity and Gauge Theories - G.S. Asanov
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G.S. Asanov:

Finsler Geometry, Relativity and Gauge Theories - gebonden uitgave, pocketboek

ISBN: 9789027719607

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 geometric… Meer...

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ISBN: 9789027719607

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 geometric… Meer...

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Finsler Geometry, Relativity and Gauge Theories (Fundamental Theories of Physics (12), Band 12) - Asanov, G.S.
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Asanov, G.S.:
Finsler Geometry, Relativity and Gauge Theories (Fundamental Theories of Physics (12), Band 12) - gebonden uitgave, pocketboek

1985

ISBN: 9789027719607

Springer, Gebundene Ausgabe, Auflage: 1985, 380 Seiten, Publiziert: 1985-10-31T00:00:01Z, Produktgruppe: Book, 3.48 kg, Verkaufsrang: 28814, Astronomie, Naturwissenschaften & Technik, Kat… Meer...

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G. S. Asanov:
Finsler Geometry, Relativity and Gauge Theories (Fundamental Theories of Physics) - gebonden uitgave, pocketboek

1985, ISBN: 9027719608

[EAN: 9789027719607], Gebraucht, guter Zustand, [PU: D. Reidel], 88Z MATHEMATICAL PHYSICS, *Price HAS BEEN REDUCED by 10% until Monday, April 5 (sale item)* 384 pp., hardcover, ex library… Meer...

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G.S. Asanov:
Finsler Geometry, Relativity and Gauge Theories (Fundamental Theories of Physics) - gebonden uitgave, pocketboek

1985, ISBN: 9789027719607

Springer, 1985-10-31. Hardcover. Good., Springer, 1985-10-31, 2.5

Verzendingskosten: EUR 11.07 Ergodebooks

Bijzonderheden over het boek
Finsler Geometry, Relativity And Gauge Theories

... Asanov's book is an important contribution to the literature and should benefit both experts and novices in applications of Finsler geometry.' Mathematics Abstracts, 576: 7 (1986)

Gedetalleerde informatie over het boek. - Finsler Geometry, Relativity And Gauge Theories


EAN (ISBN-13): 9789027719607
ISBN (ISBN-10): 9027719608
Gebonden uitgave
Verschijningsjaar: 1985
Uitgever: Springer
384 Bladzijden
Gewicht: 0,736 kg

Boek bevindt zich in het datenbestand sinds 2007-05-18T14:23:01+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-08-20T01:12:51+02:00 (Amsterdam)
ISBN/EAN: 9027719608

ISBN - alternatieve schrijfwijzen:
90-277-1960-8, 978-90-277-1960-7


Gegevens van de uitgever

Auteur: G.S. Asanov
Titel: Fundamental Theories of Physics; Finsler Geometry, Relativity and Gauge Theories
Uitgeverij: Springer; Springer Netherland
370 Bladzijden
Verschijningsjaar: 1985-10-31
Dordrecht; NL
Gewicht: 1,580 kg
Taal: Engels
299,59 € (DE)
307,99 € (AT)
330,50 CHF (CH)
POD

BB; Book; Hardcover, Softcover / Physik, Astronomie/Allgemeines, Lexika; Mathematische Physik; Verstehen; geometry; gravity; kinematics; mechanics; relativity; special relativity; theory of relativity; transformation; B; Theoretical, Mathematical and Computational Physics; Mathematical Physics; Theoretical, Mathematical and Computational Physics; Mathematical Physics; Physics and Astronomy; Mathematische Physik; BC; EA

A. Motivation and Outline of the Book.- B. Introduction to Finsler Geometry.- 1/Primary Mathematical Definitions.- 1.1. Concomitants of the Finslerian Metric Function.- 1.2. The Indicatrix.- 1.3. The Group of Invariance of the Finslerian Metric Function.- Problems.- Notes.- 2/Special Finsler Spaces.- 2.1. S3-like Finsler Spaces.- 2.2. Spaces with Quadratic Dependence of the Finslerian Metric Tensor on the Unit Tangent Vectors.- 2.3. Properties of the Berwald-Moór Metric Funcion.- 2.4. 1-Form Finsler Spaces.- 2.5. The Randers Metric Function.- 2.6. The Kropina Metric Function.- 2.7. C-Reducible Finsler Spaces.- Problems.- Notes.- C. Basic Equations.- 3/Implications of the Invariance Identities.- 3.1. Invariance Identities.- 3.2. Construction of the Connection Coefficients with the Help of the Invariance Identities.- 3.3. Fundamental Tensor Densities Associated with Direction-Dependent Scalar Densities.- 3.4. Choice of the Finslerian Scalar Density L = JK.- Problems.- Notes.- 4/Finslerian Approach Based on the Concept of Osculation.- 4.1. Formulation of Gravitational Field Equations in Terms of the Fundamental Tensor Densities.- 4.2. Application to Non-Gravitational Fields.- 4.3. Derivation of the Finslerian Equations of Motion of Matter from the Gravitational Field Equations.- 4.4. Significance of the Auxiliary Vector Field from the Viewpoint of the Clebsch Representation.- 4.5. Static Gravitational Field.- 4.6. Reduction of the Gravitational Lagrangian Density to First-Order Form in the 1-Form Case.- 4.7. Conservation Laws for the Gravitational Field in the 1-Form Case.- Problems.- Notes.- 5/Parametrical Representation of Physical Fields. The Relevance to Gauge Theories.- 5.1. Application of the Parametrical Representation of the Indicatrix.- 5.2. The Emergence of Gauge Fields.- 5.3. Finslerian Representation of Gauge Fields and Tensors.- 5.4. Gauge-Covariant Derivatives of Spinors and Isospinors.- 5.5. Linear Gauge Transformations. Finslerian Geometrization of Isotopic Invariance.- 5.6. Example of Nonlinear Internal Symmetry.- 5.7. Use of the Parametrical Concept of Osculation.- Problems.- Notes.- D. Additional Observations.- 6/Classical Mechanics from the Finslerian Viewpoint.- 6.1. Parametrically Invariant Extension of the Lagrangian.- 6.2. The Hamilton-Jacobi Equation for Homogeneous Lagrangians.- 6.3. The Generalized Hamilton-Jacobi Theory Based on the Clebsch Representation of the Canonical Momenta Field.- Problems.- Notes.- 7/Finslerian Refinement of Special Relativity Theory.- 7.1. Allowance for the Dependence of Space-Time Scales on the Directions of Motion of Inertial Frames of Reference.- 7.2. Finslerian Extension of the Special Principle of Relativity.- 7.3. Three Types of Velocities. The Fundamental Kinematic Relation.- 7.4. Finslerian Kinematics.- 7.5. Proper Finslerian Kinematic Effects.- 7.6. Finslerian Kinematics as a Consequence of the Equations of Motion of Matter.- Problems.- Notes.- 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.

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