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Non-Commuting Variations in Mathematics and Physics: A Survey
Paperback
Series: Interaction of Mechanics and Mathematics
Technology & EngineeringGeneral MathematicsPhysics
ISBN13: 9783319283210
Publisher: Springer
Published: Mar 11 2016
Pages: 235
Weight: 0.79
Height: 0.53 Width: 6.14 Depth: 9.21
Language: English
Basics of the Lagrangian Field Theory.- Lagrangian Field Theory with the Non-commuting (NC) Variations.- Vertical Connections in the Congurational Bundle and the NCvariations.- K-twisted Prolongations and -symmetries (by Works of Muriel, Romero.- Applications: Holonomic and Non-Holonomic Mechanics, H.KleinertAction Principle, Uniform Materials, and the Dissipative Potentials.- Material Time, NC-variations and the Material Aging.- Fiber Bundles and Their Geometrical Structures, Absolute Parallelism.- Jet Bundles, Contact Structures and Connections on Jet Bundles.- Lie Groups Actions on the Jet Bundles and the Systems of Differential Equations.
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