46 citations · 131 across the 23 of their papers we have counts for
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math.MG2020★ 1 cited
The Santaló point for the Holmes-Thompson boundary area
Florent Balacheff, Gil Solanes, Kroum Tzanev
We explore the notion of Santaló point for the Holmes-Thompson boundary area of a convex body in a normed space. In the case where the norm is , and in the case where unit bal…
math.GT2020★ 3 cited
Systoles and diameters of hyperbolic surfaces
Florent Balacheff, Vincent Despré, Hugo Parlier
In this article we explore the relationship between the systole and the diameter of closed hyperbolic orientable surfaces. We show that they satisfy a certain inequality, which can…