Minimal area ellipses in the hyperbolic plane

Details Minimal area ellipses in the hyperbolic plane Minimal area ellipses in the hyperbolic plane

2011-01-25

arxiv.org/abs/1101.4740v2

Mathematics

Metric Geometry

Scientific paper

We present uniqueness results for enclosing ellipses of minimal area in the
hyperbolic plane. Uniqueness can be guaranteed if the minimizers are sought
among all ellipses with prescribed axes or center. In the general case, we
present a sufficient and easily verifiable criterion on the enclosed set that
ensures uniqueness.

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