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

Ano de publicación: 1996

Volume: 64

Número: 3

Páxinas: 253-265

Tipo: Artigo

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

Outras publicacións en: Annales Polonici Mathematici

Resumo

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