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advanced_tools:connections:levi_civita_connection

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advanced_tools:connections:levi_civita_connection [2018/04/14 13:51]
theodorekorovin ↷ Links adapted because of a move operation
advanced_tools:connections:levi_civita_connection [2021/08/23 02:30] (current)
edi [Concrete]
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 Parallel is necessary, for example, to define the covariant derivative. Parallel is necessary, for example, to define the covariant derivative.
 <tabbox Concrete> ​ <tabbox Concrete> ​
-Christoffel symbols $\Gamma^i_{jk}$ are a particular type of connection that a Lorentzian manifold has (called ​ the Levi-Civita connection). ​+Christoffel symbols $\Gamma^i_{jk}$ are a particular type of connection that a Lorentzian manifold has (called ​ the Levi-Civita connection). 
 + 
 +---- 
 + 
 +**Examples** 
 + 
 +The diagram below shows three concrete examples for connections (Christoffel symbols) on simple 2-dimensional manifolds. For a more detailed explanation see [[https://​esackinger.wordpress.com/​|Fun with Symmetry]].  
 + 
 +{{:​advanced_tools:​metric_connect_curvature.jpg?​nolink}} 
 <tabbox Abstract> ​ <tabbox Abstract> ​
  
advanced_tools/connections/levi_civita_connection.txt · Last modified: 2021/08/23 02:30 by edi