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Harmonic mappings and martingales in manifolds
Full text
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| Author(s): |
Fabiano Borges da Silva
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2005-02-18 |
| Examining board members: |
Paulo Regis Caron Ruffino;
Pedro Jose Catuogno;
Artur Oscar Lopes
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| Advisor: | Paulo Regis Caron Ruffino |
| Abstract | |
In this work we explore results of harmonic mappings, via stochastic calculus in manifolds. The text is organized as follows: In the first two chapters, we introduce concepts and results about stochastic calculus in Rn, differential geometry and Lie groups. In the third chapter we have the definitions of harmonic mappings and the Euler-Lagrange equation. Finally, in the last chapter, we give a characterization of harmonic mappings via martingales, this will be important to explore some results about harmonic mappings from the point of view of stochastic calculus in manifolds (AU) | |