"contact manifold" meaning in English

See contact manifold in All languages combined, or Wiktionary

Noun

Forms: contact manifolds [plural]
Head templates: {{en-noun}} contact manifold (plural contact manifolds)
  1. (mathematics, contact geometry) A smooth manifold of odd dimensionality in contact geometry. Wikipedia link: Contact geometry Categories (topical): Geometry, Mathematics
    Sense id: en-contact_manifold-en-noun-9EZdH5wd Categories (other): English entries with incorrect language header, Manifolds Topics: mathematics, sciences

Inflected forms

Download JSON data for contact manifold meaning in English (1.4kB)

{
  "forms": [
    {
      "form": "contact manifolds",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "contact manifold (plural contact manifolds)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Manifolds",
          "orig": "en:Manifolds",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A smooth manifold of odd dimensionality in contact geometry."
      ],
      "id": "en-contact_manifold-en-noun-9EZdH5wd",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "smooth manifold",
          "smooth manifold"
        ],
        [
          "odd",
          "odd"
        ],
        [
          "dimensionality",
          "dimensionality"
        ],
        [
          "contact geometry",
          "contact geometry"
        ]
      ],
      "qualifier": "contact geometry",
      "raw_glosses": [
        "(mathematics, contact geometry) A smooth manifold of odd dimensionality in contact geometry."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Contact geometry"
      ]
    }
  ],
  "word": "contact manifold"
}
{
  "forms": [
    {
      "form": "contact manifolds",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "contact manifold (plural contact manifolds)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Geometry",
        "en:Manifolds",
        "en:Mathematics"
      ],
      "glosses": [
        "A smooth manifold of odd dimensionality in contact geometry."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "smooth manifold",
          "smooth manifold"
        ],
        [
          "odd",
          "odd"
        ],
        [
          "dimensionality",
          "dimensionality"
        ],
        [
          "contact geometry",
          "contact geometry"
        ]
      ],
      "qualifier": "contact geometry",
      "raw_glosses": [
        "(mathematics, contact geometry) A smooth manifold of odd dimensionality in contact geometry."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Contact geometry"
      ]
    }
  ],
  "word": "contact manifold"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.