"Kähler manifold" meaning in English

{
  "etymology_text": "Introduced by Erich Kähler in 1933, though the concept had been studied by others a few years earlier.",
  "forms": [
    {
      "form": "Kähler manifolds",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "Kähler manifold (plural Kähler manifolds)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "langcode": "en",
          "name": "Manifolds",
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        }
      ],
      "glosses": [
        "A manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure."
      ],
      "id": "en-Kähler_manifold-en-noun-0BWT8foj",
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "complex",
          "complex"
        ],
        [
          "Riemannian",
          "Riemannian"
        ],
        [
          "symplectic",
          "symplectic"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) A manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure."
      ],
      "related": [
        {
          "word": "Kähler geometry"
        },
        {
          "word": "Kählerian"
        }
      ]
    }
  ],
  "word": "Kähler manifold"
}

{
  "etymology_text": "Introduced by Erich Kähler in 1933, though the concept had been studied by others a few years earlier.",
  "forms": [
    {
      "form": "Kähler manifolds",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kähler manifold (plural Kähler manifolds)",
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  ],
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Kähler geometry"
    },
    {
      "word": "Kählerian"
    }
  ],
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        "en:Differential geometry",
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      "glosses": [
        "A manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure."
      ],
      "links": [
        [
          "differential geometry",
          "differential geometry"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "complex",
          "complex"
        ],
        [
          "Riemannian",
          "Riemannian"
        ],
        [
          "symplectic",
          "symplectic"
        ]
      ],
      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) A manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure."
      ]
    }
  ],
  "word": "Kähler manifold"
}