Kähler tubes of constant radial holomorphic sectional curvature |
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Authors: | Ana Lluch Vicente Miquel |
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Institution: | 1. Departament de Matemàtiques, Universitat Jaume I. Campus de Penyeta Roja, 12071, Castellón, Spain 2. Departamento de Geometría y Topología, Universidad de Valencia, 46100, Burjasot (Valencia), Spain
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Abstract: | We determine (up to holomorphic isometries) the family of Kähler tubes, around totally geodesic complex submanifolds, of constant radial holomorphic sectional curvature when the centreP of the tube is either simply connected or a complex hypersurface withH 1 (P, R)=0. In the last case, these tubes have the topology of tubular neighbourhoods of the zero section of the complex lines bundles over symplectic manifolds (when they are Kähler) of the Kostant-Souriau prequantization. |
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