Codimension one foliations with Bott-Morse singularities I
نویسندگان
چکیده
منابع مشابه
On smooth foliations with Morse singularities
Let M be a smooth manifold and let F be a codimension one, C foliation on M , with isolated singularities of Morse type. The study and classification of pairs (M,F) is a challenging (and difficult) problem. In this setting, a classical result due to Reeb [Reeb] states that a manifold admitting a foliation with exactly two centertype singularities is a sphere. In particular this is true if the f...
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The problem of reduction of singularities for germs of codimension one foliations in dimension three has been solved by Cano in [3]. The author divides the proof in two steps. The first one consists in getting pre-simple points and the second one is the passage from pre-simple to simple points. In arbitrary dimension of the ambient space the problem is open. In this paper we solve the second st...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2009
ISSN: 0022-040X
DOI: 10.4310/jdg/1253804355