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tangent bundle

tangent spaces of a manifold considered together
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tangent bundle

Summary

tangent bundle has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • tangent bundle is a type of vector bundle[2].
  • tangent bundle is the opposite of cotangent bundle[3].
  • tangent bundle comprises tangent space[4].
  • tangent bundle's maintained by WikiProject is recorded as WikiProject Mathematics[5].

Body

Definition and Type

tangent bundle is a type of vector bundle[2]. It is the opposite of cotangent bundle[3].

Use and Application

tangent bundle comprises tangent space[4].

Why It Matters

tangent bundle has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[1]

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.

Aggregate / graph-position facts

  1. [1] ↑ . 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). tangent bundle. Retrieved April 10, 2026, from https://4ort.xyz/entity/tangent-bundle
MLA “tangent bundle.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/tangent-bundle.
BibTeX @misc{4ortxyz_tangent-bundle_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{tangent bundle}}, year = {2026}, url = {https://4ort.xyz/entity/tangent-bundle}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): tangent bundle — https://4ort.xyz/entity/tangent-bundle (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/tangent-bundle · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 2d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Subclass of → —
    P14534 → TangentBundle
    Has parts → —
    Maintained by wikiproject → WikiProject Mathematics
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: TangentBundle, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.