Currents in metric spaces

Differentiability of Lipschitz Functions on Metric Measure Spaces

Jeff Cheeger · Geometric and Functional Analysis · 1999 · 1K citations

Measure Theory, Lipschitz Functions, Functional Analysis

Normal and Integral Currents

Herbert Fédérer, Wendell H. Fleming · Annals of Mathematics · 1960 · 956 citations

Integral Geometry, Definite Integral, Resolvent Kernel +1

Filling Riemannian manifolds

Mikhael Gromov · Journal of Differential Geometry · 1983 · 919 citations · Full text

Geometric Measure Theory. A Beginner's Guide.

Frederick J. Almgren, Frank Morgan · American Mathematical Monthly · 1989 · 616 citations

Integral Geometry, Geometric Modeling, Second Edition +14

Sobolev spaces on an arbitrary metric space

Piotr Hajłasz · Potential Analysis · 1996 · 583 citations

Dirichlet Form, Arbitrary Metric Space, Riemannian Manifold +2