6533b7dcfe1ef96bd1272918

RESEARCH PRODUCT

Dido's problem in the plane for domains with fixed diameter

A. Montesinos AmilibiaS. Segura Gomis

subject

PerimeterDIDODifferential geometryPlane (geometry)Hyperbolic geometryGeometryGeometry and TopologyAlgebraic geometryProjective geometryMathematics

description

We find the connected compact domains in the closed half-plane, with fixed area and diameter, which minimize the relative perimeter.

https://doi.org/10.1007/bf01264017