For a Riemannian foliation, the topology of the corresponding spectral sequence is used to characterize the existence of a bundle-like metric such that the leaves are minimal submanifolds. When the codimension is , a simple characterization of this geometrical property is proved.
Pour un feuilletage riemannien, on utilise la topologie de la suite spectrale correspondante pour caractériser l’existence d’une métrique “bundle-like” telle que les feuilles sont des sous-variétés minimales. Quand la codimension est , on prouve une caractérisation cohomologique simple de cette propriété géométrique.
@article{AIF_1990__40_1_163_0, author = {Lopez, Jes\'us A. Alvarez}, title = {On riemannian foliations with minimal leaves}, journal = {Annales de l'Institut Fourier}, pages = {163--176}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {40}, number = {1}, year = {1990}, doi = {10.5802/aif.1209}, zbl = {0688.57017}, mrnumber = {92a:53038}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1209/} }
TY - JOUR AU - Lopez, Jesús A. Alvarez TI - On riemannian foliations with minimal leaves JO - Annales de l'Institut Fourier PY - 1990 SP - 163 EP - 176 VL - 40 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1209/ DO - 10.5802/aif.1209 LA - en ID - AIF_1990__40_1_163_0 ER -
%0 Journal Article %A Lopez, Jesús A. Alvarez %T On riemannian foliations with minimal leaves %J Annales de l'Institut Fourier %D 1990 %P 163-176 %V 40 %N 1 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.1209/ %R 10.5802/aif.1209 %G en %F AIF_1990__40_1_163_0
Lopez, Jesús A. Alvarez. On riemannian foliations with minimal leaves. Annales de l'Institut Fourier, Volume 40 (1990) no. 1, pp. 163-176. doi : 10.5802/aif.1209. https://aif.centre-mersenne.org/articles/10.5802/aif.1209/
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