Pre-Schwarzian and Schwarzian Derivatives of Harmonic Mappings
نویسندگان
چکیده
منابع مشابه
The Schwarzian Derivative for Harmonic Mappings
The Schwarzian derivative of an analytic function is a basic tool in complex analysis. It appeared as early as 1873, when H. A. Schwarz sought to generalize the Schwarz-Christoffel formula to conformal mappings of polygons bounded by circular arcs. More recently, Nehari [5, 6, 7] and others have developed important criteria for global univalence in terms of the Schwarzian derivative, exploiting...
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Over the last decades it has been widely recognized that many completely integrable PDE’s from mathematical physics arise naturally in geometry. Their integrable character in the geometric context – usually associated with the presence of a Lax pair and a spectral deformation – is nothing but the flatness condition of a naturally occurring connection. Examples of interest to geometers generally...
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ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2013
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-013-9413-x