Finsler manifold

smooth manifold equipped with a Minkowski functional at each tangent space
Intangible mathematical_concept Q2498782
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Finsler manifold

Summary

Finsler manifold is a mathematical concept[1]. It draws 50 Wikipedia views per month (mathematical_concept category, ranking #207 of 1,007).[2]

Key Facts

  • Finsler manifold's instance of is recorded as mathematical concept[3].
  • Paul Finsler is named after Finsler manifold[4].
  • Finsler manifold's subclass of is recorded as differentiable manifold[5].
  • Finsler manifold's Freebase ID is recorded as /m/0223_9[6].
  • Finsler manifold's defining formula is recorded as \begin{aligned}&F\colon\mathrm TM\to[0,\infty)\&\forall x\forall v,w\in\mathrm T_xM\colon F(v+w)\le F(v)+F(w)\&\forall x\forall v\in\mathrm T_xM\forall t>0\colon F(tv)=tF(v)\&\forall x\forall v\in\mathrm T_xM\colon(F(v)=0\implies v=0)\end{aligned}[7].
  • Finsler manifold's studied by is recorded as Finsler geometry[8].
  • Finsler manifold's MathWorld ID is recorded as FinslerSpace[9].
  • Finsler manifold's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Finsler manifold's Microsoft Academic ID is recorded as 169316501[11].
  • Finsler manifold's Encyclopedia of Mathematics article ID is recorded as Finsler_space[12].
  • Finsler manifold's OpenAlex ID is recorded as C169316501[13].

Why It Matters

Finsler manifold draws 50 Wikipedia views per month (mathematical_concept category, ranking #207 of 1,007).[2] It has Wikipedia articles in 9 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: 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). Finsler manifold. Retrieved May 3, 2026, from https://4ort.xyz/entity/finsler-manifold
MLA “Finsler manifold.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/finsler-manifold.
BibTeX @misc{4ortxyz_finsler-manifold_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Finsler manifold}}, year = {2026}, url = {https://4ort.xyz/entity/finsler-manifold}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Finsler manifold — https://4ort.xyz/entity/finsler-manifold (retrieved 2026-05-03)

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