Search results for " Real Analytic Geometry"

showing 2 items of 2 documents

Semianalyticity of isoperimetric profiles

2009

It is shown that, in dimensions $<8$, isoperimetric profiles of compact real analytic Riemannian manifolds are semi-analytic.

Mathematics - Differential Geometry0209 industrial biotechnologyRiemannian Geometry Real Analytic Geometry Geometric measure Theory Metric Geometry Geometric Analysis.Calibration (statistics)02 engineering and technologyAstrophysics::Cosmology and Extragalactic Astrophysics01 natural sciencessymbols.namesake020901 industrial engineering & automationFOS: MathematicsMathematics::Metric GeometryMorse theory0101 mathematicsMathematics::Symplectic GeometryIsoperimetric inequalityMorse theoryMathematicsRiemann surface010102 general mathematicsMathematical analysis53C20;49Q20;14P15;32B20Differential Geometry (math.DG)Computational Theory and Mathematics[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]Riemann surfaceCalibrationsymbolsGeometry and TopologyMathematics::Differential GeometryIsoperimetric inequalityAnalysis
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Differentiability properties of the isoperimetric profile and topology of analytic Riemannian manifolds.

2009

Abstract: We show that smooth isoperimetric profiles are exceptional for real analytic Riemannian manifolds. For instance, under some extra assumptions, this can happen only on topological spheres

Riemannian Geometry Real Analytic Geometry.
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