The Poisson Kernel on positively curved manifolds

Harmonic functions on complete riemannian manifolds

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

Riemannian Geometry, Harmonic Functions, Riemannian Manifold +2

The splitting theorem for manifolds of nonnegative Ricci curvature

Jeff Cheeger, Detlef Gromoll · Journal of Differential Geometry · 1971 · 665 citations · Full text

Riemannian Geometry, Riemannian Manifold, Splitting Theorem +1

Eigenvalue comparison theorems and its geometric applications

Shiu‐Yuen Cheng · Mathematische Zeitschrift · 1975 · 564 citations

Spectral Theory, Eigenvalue Comparison Theorems, Matrix Method +2

Stochastic calculus of variations and hypoelliptic operators

Paul Malliavin · 1978 · 544 citations

Engineering, Stochastic Calculus, Stochastic Analysis +3

An upper bound to the spectrum of $\Delta $ on a manifold of negative curvature

H. P. McKean · Journal of Differential Geometry · 1970 · 217 citations · Full text

Spectral Theory, Riemannian Geometry, Negative Curvature +4