0000000000394136

AUTHOR

A. Montesinos Amilibia

showing 5 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 knot without tritangent planes

1991

We show, with computations aided by a computer, that the (3,2)-curve on some standard torus (which topologically is the trefoil knot) has no tritangent planes, thus answering in the negative a conjecture of M. H. Freedman.

CombinatoricsKnot complementKnot invariantSeifert surfaceQuantum invariantGeometry and TopologyTricolorabilityMathematics::Geometric TopologyTrefoil knotMathematicsKnot (mathematics)Pretzel linkGeometriae Dedicata
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Conformal curvatures of curves in

2001

Abstract We define a complete set of conformal invariants for pairs of spheres in and obtain from these the expressions of the conformal curvatures of curves in (n + 1)-space in terms of the Euclidean invariants.

Mathematics(all)Quantitative Biology::BiomoleculesExtremal lengthConformal field theoryGeneral MathematicsMathematical analysisConformal mapConformal gravitysymbols.namesakeConformal symmetryEuclidean geometrysymbolsWeyl transformationConformal geometryMathematicsIndagationes Mathematicae
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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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A knot without triple bitangency

1997

It is proved that certain trefoil knot has not triple bitangency, answering thus in the negative a conjecture of S. Izumiya and W. L. Marar.

CombinatoricsKnot complementMathematics::Algebraic GeometryConjectureGeometry and TopologyMathematics::Geometric TopologyKnot (mathematics)Pretzel linkTrefoil knotMathematicsJournal of Geometry
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