A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality

Hypoelliptic second order differential equations

Lars Hörmander · Acta Mathematica · 1967 · 2.4K citations · Full text

Natural Sciences, Mathematics, Differential Equations +5

On the parabolic kernel of the Schrödinger operator

Peter Li, Shing Tung Yau · Acta Mathematica · 1986 · 1.6K citations · Full text

Natural Sciences, Comparative Literature, Cost-utility Analysis +7

Ricci curvature for metric-measure spaces via optimal transport

John Lott, Cédric Villani · Annals of Mathematics · 2009 · 1.3K citations · Full text

Natural Sciences, Mathematics, Geometry +16

On the geometry of metric measure spaces. II

Karl‐Theodor Sturm · Acta Mathematica · 2006 · 1.3K citations · Full text

Natural Sciences, Mathematics, Computational Geometry +11

Harmonic functions on complete riemannian manifolds

Shing‐Tung Yau · Communications on Pure and Applied Mathematics · 1975 · 1.2K citations

Natural Sciences, Aerospace Engineering, Thermodynamics +9