"Weyl tensor" meaning in All languages combined

See Weyl tensor on Wiktionary

Noun [English]

Forms: Weyl tensors [plural]
Etymology: Named after Hermann Weyl. Head templates: {{en-noun}} Weyl tensor (plural Weyl tensors)
  1. (differential geometry) A measure of the curvature of spacetime (or, more generally, a pseudo-Riemannian manifold), differing from the Riemann tensor in that it does not convey information on how the volume of the body changes, but only how its shape is distorted by the tidal force. Wikipedia link: Weyl tensor Categories (topical): Differential geometry Related terms: Weyl curvature
    Sense id: en-Weyl_tensor-en-noun-oW4diRCM Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries

Inflected forms

{
  "etymology_text": "Named after Hermann Weyl.",
  "forms": [
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      "tags": [
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  "senses": [
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        },
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          "langcode": "en",
          "name": "Differential geometry",
          "orig": "en:Differential geometry",
          "parents": [
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            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A measure of the curvature of spacetime (or, more generally, a pseudo-Riemannian manifold), differing from the Riemann tensor in that it does not convey information on how the volume of the body changes, but only how its shape is distorted by the tidal force."
      ],
      "id": "en-Weyl_tensor-en-noun-oW4diRCM",
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "curvature",
          "curvature"
        ],
        [
          "spacetime",
          "spacetime"
        ],
        [
          "pseudo-Riemannian manifold",
          "pseudo-Riemannian manifold"
        ],
        [
          "Riemann tensor",
          "Riemann tensor"
        ],
        [
          "volume",
          "volume"
        ],
        [
          "shape",
          "shape"
        ],
        [
          "tidal force",
          "tidal force"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) A measure of the curvature of spacetime (or, more generally, a pseudo-Riemannian manifold), differing from the Riemann tensor in that it does not convey information on how the volume of the body changes, but only how its shape is distorted by the tidal force."
      ],
      "related": [
        {
          "word": "Weyl curvature"
        }
      ],
      "wikipedia": [
        "Weyl tensor"
      ]
    }
  ],
  "word": "Weyl tensor"
}
{
  "etymology_text": "Named after Hermann Weyl.",
  "forms": [
    {
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      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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        "en:Differential geometry"
      ],
      "glosses": [
        "A measure of the curvature of spacetime (or, more generally, a pseudo-Riemannian manifold), differing from the Riemann tensor in that it does not convey information on how the volume of the body changes, but only how its shape is distorted by the tidal force."
      ],
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "measure",
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        ],
        [
          "curvature",
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        ],
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          "spacetime",
          "spacetime"
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          "pseudo-Riemannian manifold"
        ],
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          "Riemann tensor",
          "Riemann tensor"
        ],
        [
          "volume",
          "volume"
        ],
        [
          "shape",
          "shape"
        ],
        [
          "tidal force",
          "tidal force"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) A measure of the curvature of spacetime (or, more generally, a pseudo-Riemannian manifold), differing from the Riemann tensor in that it does not convey information on how the volume of the body changes, but only how its shape is distorted by the tidal force."
      ],
      "wikipedia": [
        "Weyl tensor"
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  "word": "Weyl tensor"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-15 from the enwiktionary dump dated 2025-01-01 using wiktextract (b941637 and 4230888). 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.