6533b821fe1ef96bd127c431
RESEARCH PRODUCT
Kähler Tubes of Constant Radial Holomorphic Sectional Curvature
Vicente MiquelAna Lluchsubject
Mathematics::Complex VariablesGeneral MathematicsMathematical analysisHolomorphic functionZero (complex analysis)Algebraic geometrySection (fiber bundle)HypersurfaceSimply connected spaceMathematics::Differential GeometrySectional curvatureMathematics::Symplectic GeometryMathematicsSymplectic geometrydescription
We determine (up to holomorphic isometries) the family of Kahler 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 withH1 (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 Kahler) of the Kostant-Souriau prequantization.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-12-01 |