Geometric Control Theory and Sub-Riemannian Geometry, Gianna Stefani; Ugo Boscain; Jean-Paul Gauthier; A
Автор: Gianna Stefani; Ugo Boscain; Jean-Paul Gauthier; A Название: Geometric Control Theory and Sub-Riemannian Geometry ISBN: 3319350250 ISBN-13(EAN): 9783319350257 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presenting state-of-the-art research in a highly applicable field, this collection features papers by leading scientists combining these two methodologies, in honor of the groundbreaking work of Andrei Agrachev. It includes a chapter on open problems.
Описание: Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geometry does for linear systems.
Автор: J?rgen Jost Название: Riemannian Geometry and Geometric Analysis ISBN: 3319618598 ISBN-13(EAN): 9783319618593 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.
Автор: Andre Bellaiche; Jean-Jaques Risler Название: Sub-Riemannian Geometry ISBN: 3034899467 ISBN-13(EAN): 9783034899468 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen years, with motivations and ramifications in several parts of pure and applied mathematics, namely: - control theory - classical mechanics - Riemannian geometry (of which sub-Riemannian geometry constitutes a natural generalization, and where sub-Riemannian metrics may appear as limit cases) - diffusion on manifolds - analysis of hypoelliptic operators - Cauchy-Riemann (or CR) geometry. Although links between these domains had been foreseen by many authors in the past, it is only in recent years that sub- Riemannian geometry has been recognized as a possible common framework for all these topics. This book provides an introduction to sub-Riemannian geometry and presents the state of the art and open problems in the field. It consists of five coherent and original articles by the leading specialists: - Andre Bellaiche: The tangent space in sub-Riemannian geometry - Mikhael Gromov: Carnot-Caratheodory spaces seen from within - Richard Montgomery: Survey of singular geodesics - Hector J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers - Jean-Michel Coron: Stabilization of controllable systems
Автор: Krzysztof Galicki; Santiago R. Simanca Название: Riemannian Topology and Geometric Structures on Manifolds ISBN: 0817647422 ISBN-13(EAN): 9780817647421 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory.
Автор: J?rgen Jost Название: Nonlinear Methods in Riemannian and K?hlerian Geometry ISBN: 3034877080 ISBN-13(EAN): 9783034877084 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Let us Iist some of the most important ones: - harmonic maps between Riemannian and Kahlerian manifolds - minimal surfaces in Riemannian manifolds - Monge-Ampere equations on Kahler manifolds - Yang-Mills equations in vector bundles over manifolds.
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