Geodesic
On the first secondary invariant of Molino's central sheaf
Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 253-265

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For a Riemannian foliation on a closed manifold, the first secondary invariant of Molino's central sheaf is an obstruction to tautness. Another obstruction is the class defined by the basic component of the mean curvature with respect to some metric. Both obstructions are proved to be the same up to a constant, and other geometric properties are also proved to be equivalent to tautness.
DOI : 10.4064/ap-64-3-253-265
Keywords: foliation, taut

Jesús Álvarez López 1

1 
@article{10_4064_ap_64_3_253_265,
     author = {Jes\'us \'Alvarez L\'opez},
     title = {On the first secondary invariant of {Molino's} central sheaf},
     journal = {Annales Polonici Mathematici},
     pages = {253--265},
     publisher = {mathdoc},
     volume = {64},
     number = {3},
     year = {1996},
     doi = {10.4064/ap-64-3-253-265},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-253-265/}
}
TY  - JOUR
AU  - Jesús Álvarez López
TI  - On the first secondary invariant of Molino's central sheaf
JO  - Annales Polonici Mathematici
PY  - 1996
SP  - 253
EP  - 265
VL  - 64
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-253-265/
DO  - 10.4064/ap-64-3-253-265
LA  - en
ID  - 10_4064_ap_64_3_253_265
ER  - 
%0 Journal Article
%A Jesús Álvarez López
%T On the first secondary invariant of Molino's central sheaf
%J Annales Polonici Mathematici
%D 1996
%P 253-265
%V 64
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-253-265/
%R 10.4064/ap-64-3-253-265
%G en
%F 10_4064_ap_64_3_253_265
Jesús Álvarez López. On the first secondary invariant of Molino's central sheaf. Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 253-265. doi: 10.4064/ap-64-3-253-265

Cité par Sources :