Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

D. Corro - A. Moreno

Core reduction for singular Riemannian foliations in positive curvature

created by corro on 20 Jan 2022

[BibTeX]

preprint

Inserted: 20 jan 2022
Last Updated: 20 jan 2022

Year: 2020

ArXiv: 2011.05303 PDF

Abstract:

We show that for a smooth manifold equipped with a singular Riemannian foliation, if the foliated metric has positive sectional curvature, and there exists a pre-section, that is a proper submanifold retaining all the transverse geometric information of the foliation, then the leaf space has boundary. In particular, we see that polar foliations of positively curved manifolds have leaf spaces with nonempty boundary.

Credits | Cookie policy | HTML 5 | CSS 2.1