Minimal Surfaces in the Heisenberg Group

Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

Nicola Garofalo, Duy-Minh Nhieu · Communications on Pure and Applied Mathematics · 1996 · 539 citations

Integral Geometry, Sobolev Inequalities, Engineering +7

Minimal submanifolds of low cohomogeneity

Wu-Yi Hsiang, H. Blaine Lawson · Journal of Differential Geometry · 1971 · 462 citations · Full text

Minimal Submanifolds, Manifold Modeling, Global Analysis +1

Rectifiability and perimeter in the Heisenberg group

Raul Serapioni, Bruno Franchi, Francesco Serra Cassano · Mathematische Annalen · 2001 · 308 citations

Integral Geometry, Heisenberg Group, Coxeter Group +1

The geometric Sobolev embedding for vector fields and the isoperimetric inequality

Luca Capogna, Donatella Danielli, Nicola Garofalo · Communications in Analysis and Geometry · 1994 · 147 citations · Full text

Integral Geometry, Engineering, Geometric Partial Differential Equation +8

Surface measures in Carnot-Carath�odory spaces

Roberto Monti, Francesco Serra Cassano · Calculus of Variations and Partial Differential Equations · 2001 · 143 citations

Integral Geometry, Riemannian Geometry, Global Geometry +1