Mathematical Surveys and Monographs
Mathematical Surveys and Monographs
Subriemannian geometries, also known as Carnot-Caratheodory geometries, can be viewed as limits of Riemannian geometries. They also arise in physical phenomenon involving 'geometric phases' or holonomy.
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Subriemannian geometries, also known as Carnot-Caratheodory geometries, can be viewed as limits of Riemannian geometries. They also arise in physical phenomenon involving 'geometric phases' or holonomy. This book focuses on the study of subriemannian geometries, their geodesics, and their applications.