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A new characteristic of Möbius transformations by use of Apollonius quadrilaterals
Author(s):
Hiroshi
Haruki;
Themistocles
M.
Rassias
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2857-2861.
MSC (1991):
Primary 32A20
MathSciNet review:
1485479
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Abstract:
The purpose of this paper is to give a new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping. To this end a new concept of ``Apollonius quadrilaterals'' is used.
References:
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- 6.
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Additional Information:
Hiroshi
Haruki
Affiliation:
Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Themistocles
M.
Rassias
Affiliation:
Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
Email:
trassias@math.ntua.gr
DOI:
10.1090/S0002-9939-98-04736-4
PII:
S 0002-9939(98)04736-4
Received by editor(s):
February 18, 1997
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
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