{"product_id":"sub-riemannian-geometry-andre-bellaiche-9783034899468","title":"Sub-Riemannian Geometry","description":"\u003cp\u003eSub-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: \u003cbr\u003e- 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.\u003cbr\u003eAlthough 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. \u003cbr\u003eThis 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: \u003cbr\u003e- Andr  Bella che: The tangent space in sub-Riemannian geometry - Mikhael Gromov: Carnot-Carath odory spaces seen from within - Richard Montgomery: Survey of singular geodesics - H ctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers - Jean-Michel Coron: Stabilization of controllable systems\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Andre Bellaiche\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3034899467\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783034899468\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/18\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 398\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.25lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.84d","brand":"Andre Bellaiche","offers":[{"title":"Paperback","offer_id":45896966308095,"sku":"9783034899468","price":109.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_8e849906-9ea9-481f-a273-89afcb7f0c37.jpg?v=1721372815","url":"https:\/\/www.whiterainbookhouse.com\/products\/sub-riemannian-geometry-andre-bellaiche-9783034899468","provider":"WR Book House","version":"1.0","type":"link"}