SINGULAR RIEMANNIAN FOLIATIONS ON SPACES WITHOUT CONJUGATE POINTS

2009 ◽  
Author(s):  
Alexander Lytchak
Keyword(s):  
Conjugate Points ◽  
Riemannian Foliations ◽  
Singular Riemannian Foliations

scholarly journals ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS

2011 ◽  
Vol 53 (3) ◽  
pp. 555-568 ◽  
Author(s):  
MARCOS M. ALEXANDRINO ◽  
MIGUEL ANGEL JAVALOYES
Keyword(s):  
Conjugate Points ◽  
Closed Geodesics ◽  
Riemannian Foliations ◽  
Singular Riemannian Foliations ◽  
Leaf Space

AbstractIn 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.

Minimal singular Riemannian foliations

2006 ◽  
Vol 342 (1) ◽  
pp. 33-36 ◽  
Author(s):  
Vicente Miquel ◽  
Robert A. Wolak
Keyword(s):  
Riemannian Foliations ◽  
Singular Riemannian Foliations
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