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Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups

Zeinab Badreddine, Ludovic Rifford

2021Annales de l’institut Fourier14 citationsDOIOpen Access PDF

Abstract

We prove that two-step analytic sub-Riemannian structures on a compact analytic manifold equipped with a smooth measure and Lipschitz Carnot groups satisfy measure contraction properties.

Topics & Concepts

Carnot cycleLipschitz continuityContraction (grammar)MathematicsMeasure (data warehouse)Pure mathematicsMathematical analysisPhysicsThermodynamicsComputer scienceData miningMedicineInternal medicineGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research
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