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Showing 1 to 6 of 6 for “"Kahler manifold"”.
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Pseudoconformal Curvature and the Embeddability of a CR Hypersurface
… prove a similar statement for the image of a Kahler manifold under a holomorphic conformal embedding.
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Non-integrated Defect Relations for General Divisors
… The first applies to meromorphic maps from a Kahler manifold, whose universal covering is a ball, into a projective variety that intersects general divisors properly. This is achieved by incorporating the beta constants into the defect relation. The second pertains to holomorphic maps from a …
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Interpolation of Weighted L2 Holomorphic Functions in Higher Dimensions
… of several complex variables. We consider a Kahler manifold X with a metric &ohgr; whose Ricci curvature is non-positive and we assume that X admits a Green's function. In this setup we give a sufficient condition for a closed smooth uniformly flat hypersurface W in X to be interpolating. Our …
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Hamiltonian Actions In Integral Kahler And Generalized Complex Geometry
… basic case of Hamiltonian actions on symplectic manifolds, and the second a generalization of the basic case. Brion proved a convexity result for the moment map image of an irreducible subvariety of a compact integral Kahler manifold preserved by the complexification a of the Hamiltonian group …
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Limiting Properties of Certain Geometric Flows in Complex Geometry
… geometric flows on vector bundles over complex manifolds. First we consider the case of a semi-stable vector bundle E over a compact Kahler manifold X of arbitrary dimension. We show that in this case Donaldson's functional is bounded from below. This allows us to construct an approximate …
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A Constructive Proof of the Borel-Weil Theorem for Classical Groups
<p>The Borel-Weil theorem is usually understood as a realization theorem for representations that have already been shown to exist by other means (``Theorem of the Highest Weight''). In this thesis we turn the tables and show that, at least in the case of the classical groups $G = U(n)$, $SO(n)$ …