complex manifold

manifold with an atlas of charts to the open unit disk in ℂⁿ, such that the transition maps are holomorphic
Thing general Q578874
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complex manifold

Summary

complex manifold ranks in the top 2% of general entities by monthly Wikipedia readership (172 views/month).[1]

Key Facts

  • complex manifold's subclass of is recorded as analytic manifold[2].
  • complex manifold's subclass of is recorded as almost complex manifold[3].
  • complex manifold's NDL Authority ID is recorded as 00563644[4].
  • complex manifold's Freebase ID is recorded as /m/02jxm0[5].
  • complex manifold's NL CR AUT ID is recorded as ph412856[6].
  • complex manifold's described by source is recorded as Armenian Soviet Encyclopedia, vol. 5[7].
  • complex manifold's defining formula is recorded as \begin{aligned}&\left(M, (U_i){i\in I},\phi_i\colon U_i \to \mathbb C^n\right) \ &\bigcup{i\in I}U_i = M \ &\forall {i,j}\in I\colon \phi_j\circ\phi_i^{-1}\in\Gamma(\mathcal O_{\phi_i(U_i\cap U_j)}^{\oplus n}) \end{aligned}[8].
  • complex manifold's MathWorld ID is recorded as ComplexManifold[9].
  • complex manifold's nLab ID is recorded as complex manifold[10].
  • complex manifold's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • complex manifold's Microsoft Academic ID is recorded as 27602778[12].
  • complex manifold's Encyclopedia of Mathematics article ID is recorded as Complex_manifold[13].
  • complex manifold's OpenAlex ID is recorded as C27602778[14].
  • complex manifold's ScienceDirect topic ID is recorded as mathematics/complex-manifold[15].

Body

Works and Contributions

Things named for complex manifold include almost it[16].

Why It Matters

complex manifold ranks in the top 2% of general entities by monthly Wikipedia readership (172 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[17]

Entities named for it include almost it[16].

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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  14. [15] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [16] . wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . 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). complex manifold. Retrieved April 10, 2026, from https://4ort.xyz/entity/complex-manifold
MLA “complex manifold.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/complex-manifold.
BibTeX @misc{4ortxyz_complex-manifold_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{complex manifold}}, year = {2026}, url = {https://4ort.xyz/entity/complex-manifold}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): complex manifold — https://4ort.xyz/entity/complex-manifold (retrieved 2026-04-10)

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