ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 555-568
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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.
ALEXANDRINO, MARCOS M.; JAVALOYES, MIGUEL ANGEL. ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 555-568. doi: 10.1017/S0017089511000127
@article{10_1017_S0017089511000127,
author = {ALEXANDRINO, MARCOS M. and JAVALOYES, MIGUEL ANGEL},
title = {ON {CLOSED} {GEODESICS} {IN} {THE} {LEAF} {SPACE} {OF} {SINGULAR} {RIEMANNIAN} {FOLIATIONS}},
journal = {Glasgow mathematical journal},
pages = {555--568},
year = {2011},
volume = {53},
number = {3},
doi = {10.1017/S0017089511000127},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000127/}
}
TY - JOUR AU - ALEXANDRINO, MARCOS M. AU - JAVALOYES, MIGUEL ANGEL TI - ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS JO - Glasgow mathematical journal PY - 2011 SP - 555 EP - 568 VL - 53 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000127/ DO - 10.1017/S0017089511000127 ID - 10_1017_S0017089511000127 ER -
%0 Journal Article %A ALEXANDRINO, MARCOS M. %A JAVALOYES, MIGUEL ANGEL %T ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS %J Glasgow mathematical journal %D 2011 %P 555-568 %V 53 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000127/ %R 10.1017/S0017089511000127 %F 10_1017_S0017089511000127
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