"Margulis lemma" meaning in All languages combined

{
  "etymology_text": "Named after Grigory Margulis.",
  "forms": [
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      "form": "the Margulis lemma",
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A result about discrete subgroups of isometries of a non-positively curved Riemannian manifold, stating roughly that, within a fixed radius (the Margulis constant), the structure of the orbits of such a group cannot be too complicated. More precisely, within this radius around a point all points in its orbit are in fact in the orbit of a nilpotent subgroup (in fact a bounded finite number of such)."
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          "point",
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      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) A result about discrete subgroups of isometries of a non-positively curved Riemannian manifold, stating roughly that, within a fixed radius (the Margulis constant), the structure of the orbits of such a group cannot be too complicated. More precisely, within this radius around a point all points in its orbit are in fact in the orbit of a nilpotent subgroup (in fact a bounded finite number of such)."
      ],
      "wikipedia": [
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  "word": "Margulis lemma"
}

{
  "etymology_text": "Named after Grigory Margulis.",
  "forms": [
    {
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A result about discrete subgroups of isometries of a non-positively curved Riemannian manifold, stating roughly that, within a fixed radius (the Margulis constant), the structure of the orbits of such a group cannot be too complicated. More precisely, within this radius around a point all points in its orbit are in fact in the orbit of a nilpotent subgroup (in fact a bounded finite number of such)."
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          "point"
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      "raw_glosses": [
        "(differential geometry) A result about discrete subgroups of isometries of a non-positively curved Riemannian manifold, stating roughly that, within a fixed radius (the Margulis constant), the structure of the orbits of such a group cannot be too complicated. More precisely, within this radius around a point all points in its orbit are in fact in the orbit of a nilpotent subgroup (in fact a bounded finite number of such)."
      ],
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}