Tangentially positive isometric actions and conjugate points
نویسندگان
چکیده
منابع مشابه
Tangentially Positive Isometric Actions and Conjugate Points
Let (M, g) be a complete Riemannian manifold with no conjugate points and f : (M, g) → (B, gB) a principal G-bundle, where G is a Lie group acting by isometries and B the smooth quotient with gB the Riemannian submersion metric. We obtain a characterization of conjugate point-free quotients (B, gB) in terms of symplectic reduction and a canonical pseudo-Riemannian metric on the tangent bundle T...
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Let be a differentiable action of a Lie group on a differentiable manifold and consider the orbit space with the quotient topology. Dimension of is called the cohomogeneity of the action of on . If is a differentiable manifold of cohomogeneity one under the action of a compact and connected Lie group, then the orbit space is homeomorphic to one of the spaces , , or . In this paper we suppo...
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This are the notes of a lecture course held by P. Michor at the University of Vienna in the academic year 1992/1993, written by Konstanze Rietsch. The lecture course was held again in the academic year 1996/97 and the notes were corrected and enlarged by P. Michor.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2006
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-06-03920-1