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harmonic map

smooth map that is a critical point of the Dirichlet energy functional
Thing general Q5659257
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harmonic map

Summary

harmonic map ranks in the top 2% of general entities by monthly Wikipedia readership (41 views/month).[1]

Key Facts

  • harmonic map's subclass of is recorded as smooth function[2].
  • harmonic map's Freebase ID is recorded as /m/02p8bry[3].
  • harmonic map's defining formula is recorded as g^{ij}\nabla_i\nabla_j\phi = 0[4].
  • harmonic map's MathWorld ID is recorded as HarmonicMap[5].
  • harmonic map's nLab ID is recorded as harmonic map[6].
  • harmonic map's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • harmonic map's Microsoft Academic ID is recorded as 6270764[8].
  • harmonic map's OpenAlex ID is recorded as C6270764[9].

Why It Matters

harmonic map ranks in the top 2% of general entities by monthly Wikipedia readership (41 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[10]

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] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . 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). harmonic map. Retrieved April 10, 2026, from https://4ort.xyz/entity/harmonic-map
MLA “harmonic map.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/harmonic-map.
BibTeX @misc{4ortxyz_harmonic-map_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{harmonic map}}, year = {2026}, url = {https://4ort.xyz/entity/harmonic-map}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): harmonic map — https://4ort.xyz/entity/harmonic-map (retrieved 2026-04-10)

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