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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] 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). |
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+ | ---- | ||
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+ | **Examples** | ||
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+ | 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]]. | ||
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+ | {{:advanced_tools:metric_connect_curvature.jpg?nolink}} | ||
<tabbox Abstract> | <tabbox Abstract> | ||