ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS


Autoria(s): ALEXANDRINO, Marcos M.; JAVALOYES, Miguel Angel
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2011

Resumo

In this paper we prove the existence of closed geodesics in the leaf space of some classes of singular Riemannian foliations (s.r.f.), namely s.r.fs. that admit sections or have no horizontal conjugate points. We also investigate the shortening process with respect to Riemannian foliations.

CNPq

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

FAPESP

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Regional Junta Andalucia Grant

Regional Junta Andalucia Grant[P09-FQM-4496]

MICINN

MICINN[MTM2009-10418]

Fundacion Seneca project

Fundacion Seneca project[04540/GERM/06]

Identificador

GLASGOW MATHEMATICAL JOURNAL, v.53, p.555-568, 2011

0017-0895

http://producao.usp.br/handle/BDPI/30613

10.1017/S0017089511000127

http://dx.doi.org/10.1017/S0017089511000127

Idioma(s)

eng

Publicador

CAMBRIDGE UNIV PRESS

Relação

Glasgow Mathematical Journal

Direitos

restrictedAccess

Copyright CAMBRIDGE UNIV PRESS

Palavras-Chave #COXETER GROUPS #Mathematics
Tipo

article

original article

publishedVersion