GEOMETRY OF THE LINEAR FOLIATIONS IN C2

In this work, we study the geometric behavior of the solutions of a bidimentional complex ordinary diferential equation. We prove that the geometry of the leaves depend on the position of the eigenvalues in the complex plain and we will give a completely description of these geometry.

Bibliographic Details
Main Author: Renato Mario Benazic Tomé
Format: Article
Language:Spanish
Published: Universidad Nacional Mayor de San Marcos 2014-09-01
Series:Pesquimat
Subjects:
Online Access:http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9514
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author Renato Mario Benazic Tomé
author_facet Renato Mario Benazic Tomé
author_sort Renato Mario Benazic Tomé
collection DOAJ
description In this work, we study the geometric behavior of the solutions of a bidimentional complex ordinary diferential equation. We prove that the geometry of the leaves depend on the position of the eigenvalues in the complex plain and we will give a completely description of these geometry.
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spelling doaj.art-faaa23dcf0904f5597b9b6bc046580f82022-12-22T01:06:37ZspaUniversidad Nacional Mayor de San MarcosPesquimat1560-912X1609-84392014-09-0113110.15381/pes.v13i1.95148498GEOMETRY OF THE LINEAR FOLIATIONS IN C2Renato Mario Benazic Tomé0Instituto de Matemática y Ciencias Afines - Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – PerúIn this work, we study the geometric behavior of the solutions of a bidimentional complex ordinary diferential equation. We prove that the geometry of the leaves depend on the position of the eigenvalues in the complex plain and we will give a completely description of these geometry.http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9514Foliaciones analíticas complejasFoliaciones por curvasEcuaciones Ordinarias Complejas.
spellingShingle Renato Mario Benazic Tomé
GEOMETRY OF THE LINEAR FOLIATIONS IN C2
Pesquimat
Foliaciones analíticas complejas
Foliaciones por curvas
Ecuaciones Ordinarias Complejas.
title GEOMETRY OF THE LINEAR FOLIATIONS IN C2
title_full GEOMETRY OF THE LINEAR FOLIATIONS IN C2
title_fullStr GEOMETRY OF THE LINEAR FOLIATIONS IN C2
title_full_unstemmed GEOMETRY OF THE LINEAR FOLIATIONS IN C2
title_short GEOMETRY OF THE LINEAR FOLIATIONS IN C2
title_sort geometry of the linear foliations in c2
topic Foliaciones analíticas complejas
Foliaciones por curvas
Ecuaciones Ordinarias Complejas.
url http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9514
work_keys_str_mv AT renatomariobenazictome geometryofthelinearfoliationsinc2