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Symmetric submersions of R-n -> R-m

Díaz-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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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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Last Modified:06 Feb 2014 10:14

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