97 research outputs found
On the Bergman representative coordinates
We study the set where the so-called Bergman representative coordinates (or
Bergman functions) form an immersion. We provide an estimate of the size of a
maximal geodesic ball with respect to the Bergman metric, contained in this
set. By concrete examples we show that these estimates are the best possible.Comment: 20 page
The Szemeredi-Trotter Theorem in the Complex Plane
It is shown that points and lines in the complex Euclidean plane
determine point-line incidences. This
bound is the best possible, and it generalizes the celebrated theorem by
Szemer\'edi and Trotter about point-line incidences in the real Euclidean plane
.Comment: 24 pages, 5 figures, to appear in Combinatoric
Das Problem von CAUCHY in der mehrdimensionalen Differentialgeometrie. II. Existenz und Eindeutigkeit spezieller Mannigfaltigkeiten.
Das Problem von Cauchy in der mehrdimensionalen Differentialgeometrie. III. Natürliche Gleichungen.
Über eine Art von Krümmungsinvarianten beliebiger Untermannigfaltigkeiten desn-dimensionalen euklidischen Raums
Polyanionic clustering and electronic properties of the expanded equiatomic liquid alloy cesium-lead
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