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Vector valued Morse exponents and semiflows in flag bundles
Full text
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| Author(s): |
Lucas Conque Seco Ferreira
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2007-03-15 |
| Examining board members: |
Luiz Antonio Barrera San Martin;
Ali Tahzibi;
Clodoaldo Grotta Ragazzo;
Paolo Piccione;
Paulo Regis Caron Ruffino
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| Advisor: | Luiz Antonio Barrera San Martin |
| Abstract | |
This thesis establishes an intrinsic procedure which generalizes the classical spherical/radial decomposition of linear semiflows to a broader class of semiflows of endomorphisms of G- principal fiber bundles, whose structural group G is a Lie group that is more general than the general linear group G1 (n,R). In this more general context this thesis establishes an intimate relationship between the generalized spherical and radial asymptotic behavior of the semiflow of endomorphisms with respect to chain recurrence through the concept of vector valued Morse exponents. (AU) | |