Some properties of the range on an open leaf of some codimension-one foliation are shown. They are different from the known properties of the distance of leaves. They imply that leaf is of fibred type over a complete Riemannian manifold with boundary, as well that there exists some vector field on . If is parallel then is diffeomorphic to and has non-positive curvature.
Quelques propriétés sont démontrées de la “portée” sur une feuille ouverte d’un feuilletage arbitraire de co-dimension 1; celles-ci diffèrent des propriétés connues de la distance de feuilles. Elles comprennent que la feuille est d’un type fibré sur une variété riemannienne complète avec marge, ainsi que l’existence d’un champ vectoriel sur . Si est parallèle, est difféomorphe de et d’une courbure non-positive.
@article{AIF_1988__38_1_169_0, author = {Bugajska, Krystyna}, title = {Structure of a leaf of some codimension one riemannian foliation}, journal = {Annales de l'Institut Fourier}, pages = {169--174}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {38}, number = {1}, year = {1988}, doi = {10.5802/aif.1128}, mrnumber = {89f:53052}, zbl = {0652.53024}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1128/} }
TY - JOUR AU - Bugajska, Krystyna TI - Structure of a leaf of some codimension one riemannian foliation JO - Annales de l'Institut Fourier PY - 1988 SP - 169 EP - 174 VL - 38 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1128/ DO - 10.5802/aif.1128 LA - en ID - AIF_1988__38_1_169_0 ER -
%0 Journal Article %A Bugajska, Krystyna %T Structure of a leaf of some codimension one riemannian foliation %J Annales de l'Institut Fourier %D 1988 %P 169-174 %V 38 %N 1 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.1128/ %R 10.5802/aif.1128 %G en %F AIF_1988__38_1_169_0
Bugajska, Krystyna. Structure of a leaf of some codimension one riemannian foliation. Annales de l'Institut Fourier, Volume 38 (1988) no. 1, pp. 169-174. doi : 10.5802/aif.1128. http://www.numdam.org/articles/10.5802/aif.1128/
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