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Can I read A connection theoretic approach to sub-Riemannian geometry on EtoBox?
A connection theoretic approach to sub-Riemannian geometry by B. Langerock is a Mathematics article available to read on EtoBox.
What is A connection theoretic approach to sub-Riemannian geometry about?
We use the notion of generalized connection over a bundle map in order to present an alternative approach to sub-Riemannian geometry. Known concepts, such as normal and abnormal extremals, will be studied in terms of this new formalism. In particular, some necessary and sufficient conditions for the existence of abnormal extremals will be derived. We also treat the problem of characterizing those curves that verify both the nonholonomic equations and the so-called vakonomic equations for a "free" particle submitted to some kinematical constraints.
Who reads A connection theoretic approach to sub-Riemannian geometry?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- B. Langerock
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0393-0440)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)