Titlebook: Rational Sphere Maps; John P. D’Angelo Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Natu

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Elementary Complex and CR Geometry,unding result requires some geometric information which we gather. We will discuss the rudiments of CR geometry, including the Levi form and strong pseudoconvexity. We will encounter an unbounded realization of the unit sphere, the Heisenberg group, and an algebraic variety . associated with a ratio

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Geometric Properties of Rational Sphere Maps,resting. We use Theorem 7.1 to show that the homogeneous map . solves a natural optimization problem. Namely, of all polynomial sphere maps of degree ., the volume of its image of the ball is maximized by .. We compute this volume explicitly. To prove these results, we will require some basic proper

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John P. D’AngeloMa?nahmen, um St?dte und die sie umgebende Landschaft lebenswert und ?kologisch zu entwickeln. Die Grüngestaltung des Wohnens, der Geb?ude und des ?ffentlichen Raums spielt dabei eine zentrale Rolle. Wege zur Wiederherstellung ?kologischer Kreisl?ufe werden aufgezeigt. Für die Lebensqualit?t in den

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