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| Softcover ISBN: | 978-1-4704-7301-3 |
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| Softcover ISBN: | 978-1-4704-7301-3 |
| Product Code: | CONM/809 |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| eBook ISBN: | 978-1-4704-7860-5 |
| Product Code: | CONM/809.E |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| Softcover ISBN: | 978-1-4704-7301-3 |
| eBook ISBN: | 978-1-4704-7860-5 |
| Product Code: | CONM/809.B |
| List Price: | $264.00 $199.50 |
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Book DetailsContemporary MathematicsVolume: 809; 2025; Estimated: 146 ppMSC: Primary 53; 22; 47; 58; 81; 35
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Sub-Riemannian Geometry and Interactions, held from July 18–20, 2022, at the Université de Grenoble-Alpes, Grenoble, France.
Sub-Riemannian geometry is a generalization of Riemannian one, where a smooth metric is defined only on a preferred subset of tangent directions. Under the so-called Hörmander condition, all points are connected by finite-length curves, giving rise to a well-defined metric space. Sub-Riemannian geometry is nowadays a lively branch of mathematics, connected with probability, harmonic and complex analysis, subelliptic PDEs, geometric measure theory, optimal transport, calculus of variations, and potential analysis.
The articles in this volume present some developments of a broad range of topics in sub-Riemannian geometry, including the theory of sub-elliptic operators, holonomy, spectral theory, and the geometry of the exponential map.
ReadershipGraduate students and research mathematicians interested in differential geometry.
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Table of Contents
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Articles
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I. Beschastnyi — Lie groupoids for sub-elliptic operators
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Samuël Borza — Normal forms for the sub-Riemannian exponential map of $\mathbb {G}_\alpha $, $\operatorname {SU}(2)$, and $\operatorname {SL}(2)$
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Fabrice Baudoin and Sylvie Vega-Molino — Holonomy of H-type Foliations
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Marco Carfagnini and Maria Gordina — Spectral gap bounds on H-type groups
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Ivan Beschastnyi, Ugo Boscain, Daniele Cannarsa and Eugenio Pozzoli — Embedding the Grushin cylinder in $\mathbf {R}^3$ and Schroedinger evolution
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Jeremy T. Tyson — Polar coordinates in Carnot groups II
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Fabrice Baudoin, Michel Bonnefont and Li Chen — Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck-type operators
-
Marco Inversi and Giorgio Stefani — Lagrangian stability for a system of non-local continuity equations under Osgood condition
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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This volume contains the proceedings of the AMS-EMS-SMF Special Session on Sub-Riemannian Geometry and Interactions, held from July 18–20, 2022, at the Université de Grenoble-Alpes, Grenoble, France.
Sub-Riemannian geometry is a generalization of Riemannian one, where a smooth metric is defined only on a preferred subset of tangent directions. Under the so-called Hörmander condition, all points are connected by finite-length curves, giving rise to a well-defined metric space. Sub-Riemannian geometry is nowadays a lively branch of mathematics, connected with probability, harmonic and complex analysis, subelliptic PDEs, geometric measure theory, optimal transport, calculus of variations, and potential analysis.
The articles in this volume present some developments of a broad range of topics in sub-Riemannian geometry, including the theory of sub-elliptic operators, holonomy, spectral theory, and the geometry of the exponential map.
Graduate students and research mathematicians interested in differential geometry.
-
Articles
-
I. Beschastnyi — Lie groupoids for sub-elliptic operators
-
Samuël Borza — Normal forms for the sub-Riemannian exponential map of $\mathbb {G}_\alpha $, $\operatorname {SU}(2)$, and $\operatorname {SL}(2)$
-
Fabrice Baudoin and Sylvie Vega-Molino — Holonomy of H-type Foliations
-
Marco Carfagnini and Maria Gordina — Spectral gap bounds on H-type groups
-
Ivan Beschastnyi, Ugo Boscain, Daniele Cannarsa and Eugenio Pozzoli — Embedding the Grushin cylinder in $\mathbf {R}^3$ and Schroedinger evolution
-
Jeremy T. Tyson — Polar coordinates in Carnot groups II
-
Fabrice Baudoin, Michel Bonnefont and Li Chen — Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck-type operators
-
Marco Inversi and Giorgio Stefani — Lagrangian stability for a system of non-local continuity equations under Osgood condition
