Metric Affine Manifold (Russian Edition)

Released on by Aleks Kleyn
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  • Metric Affine Manifold (Russian Edition) Book Detail

  • Author : Aleks Kleyn
  • Release Date : 2013-03-21
  • Publisher : CreateSpace
  • Genre :
  • Pages : 42
  • ISBN 13 : 9781482738308
  • File Size : 26,26 MB
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Metric Affine Manifold (Russian Edition) by Aleks Kleyn PDF Summary

Book Description: I tell about different mathematical tool that is important in general relativity. The text of the book includes definition of geometric object, concept of reference frame, geometry of metric\hyph affinne manifold. Using this concept I learn dynamics in general relativity. We call a manifold with torsion and nonmetricity the metric\hyph affine manifold. The nonmetricity leads to a difference between the auto parallel line and the extreme line, and to a change in the expression of the Frenet transport. The torsion leads to a change in the Killing equation. We also need to add a similar equation for the connection. The dynamics of a particle follows to the Frenet transport. The analysis of the Frenet transport leads to the concept of the Cartan connection which is compatible with the metric tensor. We need additional physical constraints to make a nonmetricity observable.

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Metric Affine Manifold (Russian Edition)

Metric Affine Manifold (Russian Edition)

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I tell about different mathematical tool that is important in general relativity. The text of the book includes definition of geometric object, concept of refer

Handbook of Normal Frames and Coordinates

Handbook of Normal Frames and Coordinates

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Total View : 7933 Views
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This book provides the first comprehensive and complete overview on results and methods concerning normal frames and coordinates in differential geometry. Pract