6533b857fe1ef96bd12b3ae0
RESEARCH PRODUCT
Semianalyticity of isoperimetric profiles
Renata GrimaldiPierre PansuStefano Nardullisubject
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 inequalityAnalysisdescription
It is shown that, in dimensions $<8$, isoperimetric profiles of compact real analytic Riemannian manifolds are semi-analytic.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-06-01 |