Jarno Talponen

Convexity properties of the quasihyperbolic metric on domains of Banach spaces

Quasihyperbolic (QH) metric is a weighted metric on a path connected metric space motivated by looking at invariants
of Möbius transforms of the unit disk. In this talk the metric is given on an open path-connected non-trivial subset
of a Banach space. It turns out that many properties of the underlying Banach space are visible in the QH geometry.
We discuss the convexity of quasihyperbolic balls and look at some geometric examples.

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