Open AccessEllipses and similarity transformations with norm functions
Author(s) -
Nihal Yılmaz Özgür
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1806-22
Subject(s) - ellipse , mathematics , conjecture , euclidean geometry , norm (philosophy) , pure mathematics , combinatorics , geometry , epistemology , philosophy
In this paper, we deal with a conjecture related to the images of ellipses (resp. circles) under similarities that are the special Möbius transformations. We consider ellipses (resp. circles) corresponding to any norm function (except in the Euclidean case) on the complex plane and examine some conditions to confirm this conjecture. Some illustrative examples are also given.
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