0000000000123749

AUTHOR

Stefano Nardulli

showing 4 related works from this author

Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

2012

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. To cite this article: R. Grimaldi et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Mathematics - Differential GeometryIsoperimetric dimensionRiemannian geometryTopology01 natural sciencessymbols.namesakeRicci-flat manifoldFOS: MathematicsDifferentiable functionMorse theory0101 mathematicsTopology (chemistry)Computer Science::DatabasesIsoperimetric inequalityMorse theoryMathematicsRiemann surface010102 general mathematicsGeneral Medicinecalibration53C20;49Q20;14P15;32B20010101 applied mathematicsDifferential Geometry (math.DG)Riemann surface[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]symbolsMathematics::Differential GeometryIsoperimetric inequality
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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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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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The isoperimetric profile of a smooth Riemannian manifold for small volumes.

2009

Geometric measure theory Riemannian geometry Geometric analysis Metric geometry.
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