Focal rigidity of flat tori

Given a closed Riemannian manifold (M, g), i.e. compact and boundaryless, there is a partition of its tangent bundle TM = ∪iΣi called the focal decomposition of TM. The sets Σi are closely associated to focusing of geodesics of (M, g), i.e. to the situation where there ar...

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Bibliographic Details
Main Authors: Ferry Kwakkel, Marco Martens, Mauricio Peixoto
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2011-12-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000400002