Levi-Civita connection

the unique torsion-free affine connection that preserves a given (pseudo-)Rimannian metric
Thing general Q548675
Press Enter · cited answer in seconds

Levi-Civita connection

Summary

Levi-Civita connection ranks in the top 2% of general entities by monthly Wikipedia readership (228 views/month).[1]

Key Facts

  • Tullio Levi-Civita is named after Levi-Civita connection[2].
  • Levi-Civita connection's subclass of is recorded as vector bundle connection[3].
  • Levi-Civita connection's subclass of is recorded as affine connection[4].
  • Levi-Civita connection's Freebase ID is recorded as /m/01k_nn[5].
  • Levi-Civita connection's defining formula is recorded as \begin{aligned}\nabla g &= 0 \ \nabla_XY-\nabla_YX&=[X,Y]\end{aligned}[6].
  • Levi-Civita connection's MathWorld ID is recorded as Levi-CivitaConnection[7].
  • Levi-Civita connection's nLab ID is recorded as Levi-Civita connection[8].
  • Levi-Civita connection's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Levi-Civita connection's Microsoft Academic ID is recorded as 129049296[10].
  • Levi-Civita connection's in defining formula is recorded as \nabla[11].
  • Levi-Civita connection's in defining formula is recorded as g[12].
  • Levi-Civita connection's in defining formula is recorded as [-,-][13].
  • Levi-Civita connection's in defining formula is recorded as X[14].
  • Levi-Civita connection's in defining formula is recorded as Y[15].
  • Levi-Civita connection's OpenAlex ID is recorded as C129049296[16].
  • Levi-Civita connection's Lexikon der Mathematik entry ID is recorded as 5918[17].

Why It Matters

Levi-Civita connection ranks in the top 2% of general entities by monthly Wikipedia readership (228 views/month).[1] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[18]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  16. [17] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . 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). Levi-Civita connection. Retrieved April 10, 2026, from https://4ort.xyz/entity/levi-civita-connection
MLA “Levi-Civita connection.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/levi-civita-connection.
BibTeX @misc{4ortxyz_levi-civita-connection_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Levi-Civita connection}}, year = {2026}, url = {https://4ort.xyz/entity/levi-civita-connection}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Levi-Civita connection — https://4ort.xyz/entity/levi-civita-connection (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/levi-civita-connection · Last refreshed: