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

Revista:

Annales Polonici Mathematici

ISSN: 0066-2216, 1730-6272

Año de publicación: 1996

Volumen: 64

Número: 3

Páginas: 253-265

Tipo: Artículo

DOI: 10.4064/AP-64-3-253-265 GOOGLE SCHOLAR Acceso abierto editor

Otras publicaciones en: Annales Polonici Mathematici

Resumen

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