arXiv Open Access 2022

A curvature approach to fatness

Leonardo F. Cavenaghi Lino Grama

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.DG

Penulis (2)

Leonardo F. Cavenaghi

Lino Grama

Format Sitasi

APA MLA BibTeX

Cavenaghi, L.F., Grama, L. (2022). A curvature approach to fatness. https://arxiv.org/abs/2212.08154

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓