0000000000394137

AUTHOR

S. Segura Gomis

showing 2 related works from this author

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

1994

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

PerimeterDIDODifferential geometryPlane (geometry)Hyperbolic geometryGeometryGeometry and TopologyAlgebraic geometryProjective geometryMathematicsGeometriae Dedicata
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A Dido problem for domains in ?2 with a given inradius

1990

We find which are the simply connected domains in ℝ2 satisfying the Dido condition for a straight shoreline, with a given area A and a fixed inradius ϱ, which minimize the length of the free boundary. There are three different cases according to the values of A and ϱ.

DIDODiscrete mathematicsCombinatoricsDifferential geometryHyperbolic geometrySimply connected spaceBoundary (topology)Geometry and TopologyAlgebraic geometryIncircle and excircles of a triangleProjective geometryMathematicsGeometriae Dedicata
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