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Doctoral Thesis
DOI
Document
Author
Full name
Pablo Asdrúbal Díaz Sepúlveda
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2018
Supervisor
Committee
Silva, Marcos Martins Alexandrino da (President)
Alves, Benigno Oliveira
Gonçalves, Icaro
Gozzi, Francisco Jose
Victoria, Miguel Angel Javaloyes
Title in Portuguese
Sobre a existência de infinitas geodésicas fechadas em good orbifolds riemannianos
Keywords in Portuguese
Geodésica fechada
Geometricamente distintas
Good orbifold
Abstract in Portuguese
Nesta tese demonstramos, entre outras coisas, a existência de innitas geodésicas fechadas em good orbifolds Riemannianos M/, onde é um grupo de isometrias virtualmente Abeliano. No caso particular onde é um produto semi-direto de um grupo nito por um grupo Abeliano, concluimos a existência de uma família de geodésicas fechadas com comprimentos tendendo a innito.
Title in English
On the existence of innitely many closed geodesics in good riemannian orbifolds
Keywords in English
Closed geodesic
Geometrically distinct
Good orbifold
Abstract in English
In this PhD theses we prove, among other things, the existence of innity many (geometric distinct) closed geodesics on good Riemannian compact orbifolds M/, where is a virtual abelian group of isometries. In the particular case where is a semi-direct product of a nite group with an abelian group, we also assure that there isa family of closed geodesics for which the lengths tend to innity.
 
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Publishing Date
2019-09-12
 
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