Minimal Models and Riemannian Foliations

In this work, we consider minimal models of Riemannian foliations on connected, simply-connected manifolds following Lehmann. We show that if the minimal model has an underlying rational form of finite type, then it can be realized in rational homotopy by a fibration of finite CW complexes. As a consequence, based on results of Gottlieb and Chern-Hirzebruch-Serre, a signature product formula is obtained.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Pang, Peter Yu-Hin

• Mathematics

Identifier

(UMI)AAI8823223

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/71267