Coverart for item
The Resource Covariance and Gauge Invariance in Continuum Physics : Application to Mechanics, Gravitation, and Electromagnetism, by Lalaonirina R. Rakotomanana, (electronic resource)

Covariance and Gauge Invariance in Continuum Physics : Application to Mechanics, Gravitation, and Electromagnetism, by Lalaonirina R. Rakotomanana, (electronic resource)

Label
Covariance and Gauge Invariance in Continuum Physics : Application to Mechanics, Gravitation, and Electromagnetism
Title
Covariance and Gauge Invariance in Continuum Physics
Title remainder
Application to Mechanics, Gravitation, and Electromagnetism
Statement of responsibility
by Lalaonirina R. Rakotomanana
Creator
Subject
Language
eng
Summary
This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation. It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincaré gauge theory according to the Utiyama method. Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
R. Rakotomanana, Lalaonirina
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • 90 \0
  • Springer eBooks.
  • Springer eBooks
  • Progress in Mathematical Physics,
Series volume
73
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical physics
  • Physics
  • Continuum mechanics
Label
Covariance and Gauge Invariance in Continuum Physics : Application to Mechanics, Gravitation, and Electromagnetism, by Lalaonirina R. Rakotomanana, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-91782-5
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
General introduction -- Basic concepts on manifolds, spacetimes, and calculus of variations -- Covariance of Lagrangian density function -- Gauge invariance for gravitation and gradient continuum -- Topics in continuum mechanics and gravitation -- Topics in gravitation and electromagnetism -- General conclusion -- Annexes
Control code
978-3-319-91782-5
Dimensions
unknown
Extent
1 online resource (XI, 325 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319917825
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-91782-5
Other physical details
42 illustrations, 16 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1043831002
Label
Covariance and Gauge Invariance in Continuum Physics : Application to Mechanics, Gravitation, and Electromagnetism, by Lalaonirina R. Rakotomanana, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-91782-5
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
General introduction -- Basic concepts on manifolds, spacetimes, and calculus of variations -- Covariance of Lagrangian density function -- Gauge invariance for gravitation and gradient continuum -- Topics in continuum mechanics and gravitation -- Topics in gravitation and electromagnetism -- General conclusion -- Annexes
Control code
978-3-319-91782-5
Dimensions
unknown
Extent
1 online resource (XI, 325 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319917825
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-91782-5
Other physical details
42 illustrations, 16 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1043831002

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