Publisher DOI: 10.1007/s00022-019-0502-2
Title: Complex Disk Products and Cartesian Ovals
Language: English
Authors: Bünger, Florian 
Rump, Siegfried M. 
Keywords: Cartesian ovals;complex disk products;Minkowski products
Issue Date: 1-Dec-2019
Source: Journal of Geometry 3 (110): 45 - (2019-12-01)
Journal or Series Name: Journal of geometry 
Abstract (english): Let DR, Dr, DS, Ds be complex disks with common center 1 and radii R, r, S, s, respectively. We consider the Minkowski products A: = DRDr and B: = DSDs and give necessary and sufficient conditions for A being a subset or superset of B. Partially, this extends to n-fold disk products D1… Dn, n> 2. It is well-known that the boundaries of A and B are outer loops of Cartesian ovals. Therefore, our results translate to necessary and sufficient conditions under which such loops encircle each other.
ISSN: 0047-2468
Institute: Zuverlässiges Rechnen E-19 
Type: (wissenschaftlicher) Artikel
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