Riemannian foliations with parallel or harmonic basic forms

Autor:	Fida El Chami, Roger Nakad, Georges Habib
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry Pure mathematics General Mathematics Harmonic (mathematics) 53C12 53C20 53C24 57R30 Curvature Manifold Differential Geometry (math.DG) FOS: Mathematics Foliation (geology) Mathematics::Differential Geometry Tensor Mathematics::Symplectic Geometry Mathematics
Zdroj:	Archivum Mathematicum. :51-65
ISSN:	1212-5059 0044-8753
DOI:	10.5817/am2015-1-51
Popis:	In this paper, we consider a Riemannian foliation whose normal bundle carries a parallel or harmonic basic form. We estimate the norm of the O'Neill tensor in terms of the curvature data of the whole manifold. Some examples are then given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6632267911e563b9cb7b2b63dfbe39ce https://doi.org/10.5817/am2015-1-51 Zobrazit plný text záznamu