torsion tensor

(1,2)-tensor field associated to an affine connection; characterizes "twist" of geodesics; if nonzero, geodesics will be helices
Thing tensor_field Q13229797
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torsion tensor

Summary

torsion tensor is a tensor field[1]. It draws 50 Wikipedia views per month (tensor_field category, ranking #2 of 2).[2]

Key Facts

  • torsion tensor's image is recorded as Centre de Physique Théorique de l'Ecole polytechnique (CPHT) - 45957846905.jpg[3].
  • torsion tensor's instance of is recorded as tensor field[4].
  • torsion tensor's instance of is recorded as invariant[5].
  • torsion tensor's Freebase ID is recorded as /m/0by3mv[6].
  • torsion tensor's defining formula is recorded as T^k_{ij} = \Gamma^k_{ij} - \Gamma^k_{ji}[7].
  • torsion tensor's MathWorld ID is recorded as TorsionTensor[8].
  • torsion tensor's nLab ID is recorded as torsion of a metric connection[9].
  • torsion tensor's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • torsion tensor's Microsoft Academic ID is recorded as 142236769[11].
  • torsion tensor's in defining formula is recorded as \Gamma_{ij}^k[12].
  • torsion tensor's in defining formula is recorded as T^k_{ij}[13].

Why It Matters

torsion tensor draws 50 Wikipedia views per month (tensor_field category, ranking #2 of 2).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[14]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). torsion tensor. Retrieved May 3, 2026, from https://4ort.xyz/entity/torsion-tensor
MLA “torsion tensor.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/torsion-tensor.
BibTeX @misc{4ortxyz_torsion-tensor_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{torsion tensor}}, year = {2026}, url = {https://4ort.xyz/entity/torsion-tensor}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): torsion tensor — https://4ort.xyz/entity/torsion-tensor (retrieved 2026-05-03)

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