| dbo:abstract |
In der Riemannschen Geometrie, einem Teilgebiet der Mathematik, ist die Busemann-Funktion eine Funktion, die den "Abstand zu unendlich fernen Punkten" misst. Sie ist nach Herbert Busemann benannt. (de) In geometric topology, Busemann functions are used to study the large-scale geometry of geodesics in Hadamard spaces and in particular Hadamard manifolds (simply connected complete Riemannian manifolds of nonpositive curvature). They are named after Herbert Busemann, who introduced them; he gave an extensive treatment of the topic in his 1955 book "The geometry of geodesics". (en) Функция Буземана — определённый тип функций на метрическом пространстве. Грубо говоря, функцию Буземана можно рассматривать как «расстояние до бесконечно удалённой точки». (ru) |
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T. (en) |
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Busemann_function&oldid=13719 (en) |
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Busemann function (en) |
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In der Riemannschen Geometrie, einem Teilgebiet der Mathematik, ist die Busemann-Funktion eine Funktion, die den "Abstand zu unendlich fernen Punkten" misst. Sie ist nach Herbert Busemann benannt. (de) In geometric topology, Busemann functions are used to study the large-scale geometry of geodesics in Hadamard spaces and in particular Hadamard manifolds (simply connected complete Riemannian manifolds of nonpositive curvature). They are named after Herbert Busemann, who introduced them; he gave an extensive treatment of the topic in his 1955 book "The geometry of geodesics". (en) Функция Буземана — определённый тип функций на метрическом пространстве. Грубо говоря, функцию Буземана можно рассматривать как «расстояние до бесконечно удалённой точки». (ru) |
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Busemann function (en) Busemann-Funktion (de) Функция Буземана (ru) |
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