| Titel |
Geometry, Analysis and Dynamics on sub-Riemannian Manifolds ([EBook] :) : Volume II / / Davide Barilari, Ugo Boscain, Mario Sigalotti |
| Added Personal Name |
Barilari, Davide |
| Boscain, Ugo |
| Sigalotti, Mario |
| Veröffentl |
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2016 |
| Physical Details |
1 online resource (307 pages) |
| Reihe |
EMS Series of Lectures in Mathematics (ELM) 2523-5176 |
| ISBN |
9783037196632 |
| Summary Note |
Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, sub-Riemannian geometry is the geometry underlying the theory of hypoelliptic operators and degenerate diffusions on manifolds. In the last twenty years, sub-Riemannian geometry has emerged as an independent research domain, with extremely rich motivations and ramifications in several parts of pure and applied mathematics, such as geometric analysis, geometric measure theory, stochastic calculus and evolution equations together with applications in mechanics, optimal control and biology. The aim of the lectures collected here is to present sub-Riemannian structures for the use of both researchers and graduate students.: |
| Contents note |
Introduction to geodesics in sub-Riemannian geometry /: Geometry of subelliptic diffusions /: Geometric foundations of rough paths /: Sobolev and bounded variation functions on metric measure spaces /: Singularities of vector distributions /: |
| Mode of acces to digital resource |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.4171/163 |
| Siehe auch |
https://www.ems-ph.org/img/books/barilari_II_mini.jpg |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Calculus of variations and optimal control; optimization .
Differential Geometry .
Differential & Riemannian geometry .
Partial differential equations .
Probability theory and stochastic processes .
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