In differential geometry, the Margulis lemma (named after Grigory Margulis) is a result about discrete subgroups of isometries of a non-positively curved Riemannian manifold (e.g. the hyperbolic n-space). Roughly, it states that within a fixed radius, usually called 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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| - Lemma von Margulis (de)
- Margulis lemma (en)
- Лемма Маргулиса (ru)
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| - In der Differentialgeometrie, einem Teilgebiet der Mathematik, beschreibt das Lemma von Margulis oder Margulis-Lemma die Topologie des „dünnen Teils“ einer negativ gekrümmten riemannschen Mannigfaltigkeit. Es dient vor allem zur Beschreibung der Enden hyperbolischer Mannigfaltigkeiten endlichen Volumens. Es ist nach Grigori Alexandrowitsch Margulis benannt. (de)
- In differential geometry, the Margulis lemma (named after Grigory Margulis) is a result about discrete subgroups of isometries of a non-positively curved Riemannian manifold (e.g. the hyperbolic n-space). Roughly, it states that within a fixed radius, usually called 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). (en)
- Лемма Маргулиса — одно из ключевых утверждений об изометрических действиях на римановых многообразиях. Названа в честь Григория Александровича Маргулиса. (ru)
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| - In der Differentialgeometrie, einem Teilgebiet der Mathematik, beschreibt das Lemma von Margulis oder Margulis-Lemma die Topologie des „dünnen Teils“ einer negativ gekrümmten riemannschen Mannigfaltigkeit. Es dient vor allem zur Beschreibung der Enden hyperbolischer Mannigfaltigkeiten endlichen Volumens. Es ist nach Grigori Alexandrowitsch Margulis benannt. (de)
- In differential geometry, the Margulis lemma (named after Grigory Margulis) is a result about discrete subgroups of isometries of a non-positively curved Riemannian manifold (e.g. the hyperbolic n-space). Roughly, it states that within a fixed radius, usually called 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). (en)
- Лемма Маргулиса — одно из ключевых утверждений об изометрических действиях на римановых многообразиях. Названа в честь Григория Александровича Маргулиса. (ru)
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