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Google圖書搜尋
Sub-Riemannian Geometry
Ovidiu Calin
Der-Chen Chang
其他書名
General Theory and Examples
出版
Cambridge University Press
, 2009-04-20
主題
Mathematics / Geometry / Differential
Mathematics / Geometry / Non-Euclidean
Mathematics / Topology
ISBN
0521897300
9780521897303
URL
http://books.google.com.hk/books?id=RU6xam-chGYC&hl=&source=gbs_api
EBook
SAMPLE
註釋
Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference begins by introducing the theory of sub-Riemannian manifolds using a variational approach in which all properties are obtained from minimum principles, a robust method that is novel in this context. The authors then present examples and applications, showing how Heisenberg manifolds (step 2 sub-Riemannian manifolds) might in the future play a role in quantum mechanics similar to the role played by the Riemannian manifolds in classical mechanics. Sub-Riemannian Geometry: General Theory and Examples is the perfect resource for graduate students and researchers in pure and applied mathematics, theoretical physics, control theory, and thermodynamics interested in the most recent developments in sub-Riemannian geometry.