arXiv subjects

Berk Ceylan

Publications and source records attributed to Berk Ceylan.

2 recordsLinked to original sources

arXiv2025

Ratio of Intrinsic Metric to Extrinsic Metric and Volume

We study the relationship between the ratio of intrinsic to extrinsic metrics and area. For certain surfaces inside unit ball in R3 we give lower bound on the maximum of ratio in terms of its area. We also give examples to show non-existence of global lower bounds.

math.DG↗

arXiv2023

Two moons in a puddle

We prove that a simple closed plane curve with curvature at most 1 and diameter at least 4, surrounds two disjoint open unit disks. We also pose an open question relating the diameter lower bound to the length of the curve.

math.DG↗