An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

516.36

Capogna, Luca. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem by Luca Capogna, Scott D. Pauls, Donatella Danielli ; edited by Jeremy T. Tyson. -
XVI, 224 p. online resource. - (Progress in Mathematics, 259) Content notes : The Isoperimetric Problem in Euclidean Space -- The Heisenberg Group and Sub-Riemannian Geometry -- Applications of Heisenberg Geometry -- Horizontal Geometry of Submanifolds -- Sobolev and BV Spaces -- Geometric Measure Theory and Geometric Function Theory -- The Isoperimetric Inequality in ? -- The Isoperimetric Profile of ? -- Best Constants for Other Geometric Inequalities on the Heisenberg Group. 9783764381332 * Global differential geometry. Topological Groups. Cell aggregation - Mathematics. Differential equations, partial. Global analysis. Systems theory. Differential Geometry. Topological Groups, Lie Groups. Manifolds and Cell Complexes (incl. Diff.Topology). Partial Differential Equations. Global Analysis and Analysis on Manifolds. Systems Theory, Control. * Pauls, Scott D., aut, http://id.loc.gov/vocabulary/relators/autDanielli, Donatella., aut, http://id.loc.gov/vocabulary/relators/autTyson, Jeremy T., edt, http://id.loc.gov/vocabulary/relators/edt * Title * Series