"metric tensor" meaning in English

{
  "forms": [
    {
      "form": "metric tensors",
      "tags": [
        "plural"
      ]
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  ],
  "head_templates": [
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      "args": {},
      "expansion": "metric tensor (plural metric tensors)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Differential geometry",
          "orig": "en:Differential geometry",
          "parents": [
            "Geometry",
            "Mathematical analysis",
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      "examples": [
        {
          "text": "2015, 1:10:00–1:11:15 from the start, in 1 Exterior Product, Fermions (Mathematics for Theoretical Physicists - Hirosi Ooguri), spoken by Hiroshi Ooguri (Hiroshi Ooguri), K Raviteja (YouTube):",
          "type": "quotation"
        }
      ],
      "glosses": [
        "a symmetric bilinear form which is non-degenerate (i.e., having all non-zero eigenvalues); a differential of distance on a manifold"
      ],
      "id": "en-metric_tensor-en-noun-NGnRKcmd",
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "symmetric",
          "symmetric"
        ],
        [
          "bilinear form",
          "bilinear form"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "differential",
          "differential"
        ],
        [
          "manifold",
          "manifold"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) a symmetric bilinear form which is non-degenerate (i.e., having all non-zero eigenvalues); a differential of distance on a manifold"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "symmetric bilinear form",
          "word": "度量張量"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "dùliàng zhāngliàng",
          "sense": "symmetric bilinear form",
          "word": "度量张量"
        }
      ],
      "wikipedia": [
        "metric tensor"
      ]
    }
  ],
  "word": "metric tensor"
}

{
  "forms": [
    {
      "form": "metric tensors",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "metric tensor (plural metric tensors)",
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  "lang_code": "en",
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        "en:Differential geometry"
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      "examples": [
        {
          "text": "2015, 1:10:00–1:11:15 from the start, in 1 Exterior Product, Fermions (Mathematics for Theoretical Physicists - Hirosi Ooguri), spoken by Hiroshi Ooguri (Hiroshi Ooguri), K Raviteja (YouTube):",
          "type": "quotation"
        }
      ],
      "glosses": [
        "a symmetric bilinear form which is non-degenerate (i.e., having all non-zero eigenvalues); a differential of distance on a manifold"
      ],
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "symmetric",
          "symmetric"
        ],
        [
          "bilinear form",
          "bilinear form"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
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          "differential",
          "differential"
        ],
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          "manifold",
          "manifold"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) a symmetric bilinear form which is non-degenerate (i.e., having all non-zero eigenvalues); a differential of distance on a manifold"
      ],
      "wikipedia": [
        "metric tensor"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "symmetric bilinear form",
      "word": "度量張量"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "dùliàng zhāngliàng",
      "sense": "symmetric bilinear form",
      "word": "度量张量"
    }
  ],
  "word": "metric tensor"
}