English

Minimal area ellipses in the hyperbolic plane

Metric Geometry 2018-07-31 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1101.4740,
  title  = {Minimal area ellipses in the hyperbolic plane},
  author = {Matthias J. Weber and Hans-Peter Schröcker},
  journal= {arXiv preprint arXiv:1101.4740},
  year   = {2018}
}
R2 v1 2026-06-21T17:16:34.485Z