On the first secondary invariant of Molino's central sheaf

Álvarez López, Jesús

doi:10.4064/AP-64-3-253-265

On the first secondary invariant of Molino's central sheaf

Álvarez López, Jesús

Journal:

Annales Polonici Mathematici

ISSN: 0066-2216, 1730-6272

Year of publication: 1996

Volume: 64

Issue: 3

Pages: 253-265

Type: Article

DOI: 10.4064/AP-64-3-253-265 GOOGLE SCHOLAR Open access editor

More publications in: Annales Polonici Mathematici

Abstract

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.Autorzy