We give examples of pairs of orthogonal vector fields with closed orbits in every homotopy class of pairs of transversal vector fields on a two-dimensional riemannian torus.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap87-0-16,
author = {Jean-Marie Lion},
title = {Feuilletages orthogonaux du tore \`a feuilles ferm\'ees},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {207-212},
language = {fra},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap87-0-16}
}
Jean-Marie Lion. Feuilletages orthogonaux du tore à feuilles fermées. Annales Polonici Mathematici, Tome 85 (2005) pp. 207-212. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap87-0-16/