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Complex Disk Products and Cartesian Ovals
Publikationstyp
Journal Article
Date Issued
2019-12-01
Sprache
English
Author(s)
Institut
TORE-URI
Journal
Volume
110
Issue
3
Article Number
45
Citation
Journal of Geometry 3 (110): 45 (2019-12-01)
Publisher DOI
Scopus ID
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.
Subjects
Cartesian ovals
complex disk products
Minkowski products