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Titlebook: Global Analysis in Mathematical Physics; Geometric and Stocha Yuri Gliklikh Book 1997 Springer Science+Business Media New York 1997 Christo

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https://doi.org/10.1007/978-3-319-41360-0In this section, we shall study conditions that guarantee that all integral curves of a vector field on a finite-dimensional manifold exist on the interval (–∞, ∞). A vector field with this property is called complete. We shall give a criterion for completeness that uses special Riemannian metrics on the phase space.
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Designing an Adequate Control Group,The description and analysis of classical mechanical systems by means of dif-ferential and, first of all, Riemannian geometry is called geometric mechanics.
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Global Analysis in Mathematical Physics978-1-4612-1866-1Series ISSN 0066-5452 Series E-ISSN 2196-968X
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