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OverviewHigh Quality Content by WIKIPEDIA articles! In mathematics, the Hopf-Rinow theorem is a set of statements about the geodesic completeness of Riemannian manifolds. It is named after Heinz Hopf and his student Willi Rinow (1907-1979).Furthermore, any one of the above implies that given any two points p and q in M, there exists a length minimizing geodesic connecting these two points (geodesics are in general extrema, and may or may not be minima). This does not hold in infinite dimensions: (Atkin 1975) showed that two points in an infinite dimensional complete Riemannian manifold need not be connected by any geodesic. Full Product DetailsAuthor: Lambert M. Surhone , Mariam T. Tennoe , Susan F. HenssonowPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.70cm , Length: 15.20cm Weight: 0.188kg ISBN: 9786131274688ISBN 10: 6131274681 Pages: 120 Publication Date: 16 August 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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