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An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (Hardcover, 2007 ed.): Luca Capogna,... An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (Hardcover, 2007 ed.)
Luca Capogna, Donatella Danielli, Scott D. Pauls, Jeremy Tyson
R3,944 Discovery Miles 39 440 Ships in 12 - 19 working days

This book gives an up-to-date account of progress on Pansu's celebrated problem on the sub-Riemannian isoperimetric profile of the Heisenberg group. It also serves as an introduction to the general field of sub-Riemannian geometric analysis. It develops the methods and tools of sub-Riemannian differential geometry, nonsmooth analysis, and geometric measure theory suitable for attacks on Pansu's problem.

Fully Nonlinear PDEs in Real and Complex Geometry and Optics - Cetraro, Italy 2012, Editors: Cristian E. Gutierrez, Ermanno... Fully Nonlinear PDEs in Real and Complex Geometry and Optics - Cetraro, Italy 2012, Editors: Cristian E. Gutierrez, Ermanno Lanconelli (Paperback, 2014 ed.)
Luca Capogna, Pengfei Guan, Cristian E. Gutierrez, Annamaria Montanari; Adapted by Ermanno Lanconelli, …
R1,378 Discovery Miles 13 780 Ships in 10 - 15 working days

The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables. The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Gutierrez, and On the Levi Monge Ampere equation by Annamaria Montanari.

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