On the first secondary invariant of Molino's central sheaf

  1. Álvarez López, Jesús
Zeitschrift:
Annales Polonici Mathematici

ISSN: 0066-2216,  1730-6272

Datum der Publikation: 1996

Ausgabe: 64

Nummer: 3

Seiten: 253-265

Art: Artikel

DOI: 10.4064/AP-64-3-253-265 GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Annales Polonici Mathematici

Zusammenfassung

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