Browsing 1 - Oberwolfach Preprints (OWP) by MSC "32"
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Real Analyticity is Concentrated in Dimension 2
[OWP-2018-23] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-05)We prove that a real-valued function on a real analytic manifold is analytic whenever all its restrictions to $2$-dimensional analytic submanifolds are analytic functions. We also obtain analogous results in the framework ... -
Second Main Theorems and Unicity of Meromorphic Mappings with Moving Hypersurfaces
[OWP-2011-38] (Mathematisches Forschungsinstitut Oberwolfach, 2011)In this article, we establish some new second main theorems for meromorphic mappings of $\mathbf{C}^m$ into $\mathbf{P}^n(\mathbf{C})$ and moving hypersurfaces with truncated counting functions. As an application, we prove ... -
Spherical Arc-Length as a Global Conformal Parameter for Analytic Curves in the Riemann Sphere
[OWP-2016-21] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-11)We prove that for every analytic curve in the complex plane $\mathbb{C}$, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the hyperbolic plane, hyperbolic ... -
Weakly Complex Homogeneous Spaces
[OWP-2012-04] (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)We complete our recent classification of compact inner symmetric spaces with weakly complex tangent bundle by filling up a case which was left open, and extend this classification to the larger category of compact homogeneous ...