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- Contorsion_tensor abstract "The contorsion tensor in differential geometry expresses the difference between a metric-compatible affine connection with Christoffel symbol and the unique torsion-free Levi-Civita connection for the same metric.The contortion tensor is defined in terms of the torsion tensor as where the indices are being raised and lowered with respect to the metric:.The reason for the non-obvious sum in the definition is that the contortion tensor, being the difference between two metric-compatible Christoffel symbols, must be antisymmetric in the last two indices, whilst the torsion tensor itself is antisymmetric in its first two indices.The connection can now be written as where is the torsion-free Levi-Civita connection.".
- Contorsion_tensor wikiPageID "1561997".
- Contorsion_tensor wikiPageRevisionID "538517372".
- Contorsion_tensor hasPhotoCollection Contorsion_tensor.
- Contorsion_tensor subject Category:Tensors.
- Contorsion_tensor type Abstraction100002137.
- Contorsion_tensor type Cognition100023271.
- Contorsion_tensor type Concept105835747.
- Contorsion_tensor type Content105809192.
- Contorsion_tensor type Idea105833840.
- Contorsion_tensor type PsychologicalFeature100023100.
- Contorsion_tensor type Quantity105855125.
- Contorsion_tensor type Tensor105864481.
- Contorsion_tensor type Tensors.
- Contorsion_tensor type Variable105857459.
- Contorsion_tensor comment "The contorsion tensor in differential geometry expresses the difference between a metric-compatible affine connection with Christoffel symbol and the unique torsion-free Levi-Civita connection for the same metric.The contortion tensor is defined in terms of the torsion tensor as where the indices are being raised and lowered with respect to the metric:.The reason for the non-obvious sum in the definition is that the contortion tensor, being the difference between two metric-compatible Christoffel symbols, must be antisymmetric in the last two indices, whilst the torsion tensor itself is antisymmetric in its first two indices.The connection can now be written as where is the torsion-free Levi-Civita connection.".
- Contorsion_tensor label "Contorsion tensor".
- Contorsion_tensor sameAs m.05bkyj.
- Contorsion_tensor sameAs Q5165567.
- Contorsion_tensor sameAs Q5165567.
- Contorsion_tensor sameAs Contorsion_tensor.
- Contorsion_tensor wasDerivedFrom Contorsion_tensor?oldid=538517372.
- Contorsion_tensor isPrimaryTopicOf Contorsion_tensor.