|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.||URI:||http://hdl.handle.net/11420/3259||ISSN:||0047-2468||Institute:||Zuverlässiges Rechnen E-19||Type:||(wissenschaftlicher) Artikel|
|Appears in Collections:||Publications without fulltext|
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