Work

A curvature approach to fatness

Year: 2025

Type: article

Abstract: This paper delves into the concept of “fat bundles” within Riemannian submersions. One explores the structural implications of fat Riemannian submersions, particularly focusing on those with non-negative sectional curvature. The main results include the classification of fibers as symmetric spaces, the isometric correspondence of fat foliations with coset foliations on Lie groups, and the rigidity of dual foliations associated with fat Riemannian submersions.

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x25420017

Authors: Leonardo F. Cavenaghi, Lino Grama

Institution: Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Fundação de Amparo à Pesquisa do Estado de São Paulo, Université de Fribourg