Search results for "Constant-mean-curvature surface"

showing 3 items of 3 documents

Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature

1974

Mean curvature flowMean curvatureGeneral MathematicsPrescribed scalar curvature problemMathematical analysisConstant-mean-curvature surfaceTotal curvatureSectional curvatureCurvatureScalar curvatureMathematicsMathematische Zeitschrift
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Differential Geometry of Curves and Surfaces

2001

The goal of this article is to present the relation between some differential formulas, like the Gauss integral for a link, or the integral of the Gaussian curvature on a surface, and topological invariants like the linking number or the Euler characteristic.

PhysicsSurface (mathematics)symbols.namesakeFrenet–Serret formulasGaussian integralMathematical analysisGaussian curvaturesymbolsConstant-mean-curvature surfaceDifferential geometry of curvesLinking numberDifferential (mathematics)
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The Plateau-Bézier Problem

2003

We study the Plateau problem restricted to polynomial surfaces using techniques coming from the theory of Computer Aided Geometric Design. The results can be used to obtain polynomial approximations to minimal surfaces. The relationship between harmonic Bezier surfaces and minimal surfaces with free boundaries is shown.

PolynomialGeometric designMinimal surfaceMathematical analysisConstant-mean-curvature surfaceGeometryBézier curvePlateau (mathematics)Plateau's problemBernstein polynomialMathematics
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