Geometry, analysis and dynamics on sub-Riemannian manifolds
by Barilari, Davide Boscain, Ugo Sigalotti, Mario
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 seve…
Read More ↓Title Statements
- Full title :Geometry, analysis and dynamics on sub-Riemannian manifolds. / Davide Barilari, Ugo Boscain, Mario Sigalotti, editors.
Summary
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.
Read More ↓Edition Statements
- Publication Date:©2016.
Publication Statements
- Publisher(s):European Mathematical Society
- Place of Publication:Zürich, Switzerland
- Language:eng
- Publication Date:©2016.
The Physical Object
- Description:1 ressource en ligne (324 pages).
Edition Identifiers
- ISBN:9783037196625, 3037196629
- DOI:10.4171/162
- oclc:on1065930507
- LC Classification:QA649
- Dewey Decimal:516.36
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