Diaz-Cano Ocaña, Antonio and Gonzalez Gascón, F. and Peralta Salas, Daniel (2007) Symmetric submersions of R-n -> R-m. Nonlinear Analysis: Theory, Methods & Applications , 67 (8). pp. 2424-2432. ISSN 0362-546X
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Official URL: http://www.sciencedirect.com/science/article/pii/S0362546X06005323
Abstract
Submersions f such that f(-1)(0) contains a given fiber F, and that are invariant under a family of vector fields s leaving F invariant, are constructed. Examples for which a submersion of this kind cannot exist are also given. In the absence of a geometric theory of submersions f invariant under s, most of our treatment is analytic.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Submersions; Symmetries |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 15013 |
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| Deposited On: | 25 Apr 2012 11:19 |
| Last Modified: | 22 Apr 2013 18:29 |
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