No four-start restaurants on this tour, and accommodations are primitive for anyone brave enough to spend the night. Defining subreimannian, or Carnot-CarthTodory, geometries as manifolds endowed with a distribution and a fiber inner product on the distribution, Montgomery explores them with a particular focus of their geodesics and applications. He also looks at the mechanics and geometry of bundles. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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