The Ricci flow for circle bundles over surfaces

In this work, we study and solve the normalized Ricci flow equation for circle bundles over surfaces. Moreover, we study the asymptotic behavior of the solutions and their connections to some model geometries.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2024-09-30
DOI
https://doi.org/10.1002/mma.10515
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

The Ricci flow for circle bundles over surfaces

Georgios Fotopoulos, Arash Bazdar
Mathematical Methods in the Applied Sciences
Geometric Analysis and Curvature Flows
article

The Ricci flow for circle bundles over surfaces

Georgios Fotopoulos, Arash Bazdar
article en

Abstract

In this work, we study and solve the normalized Ricci flow equation for circle bundles over surfaces. Moreover, we study the asymptotic behavior of the solutions and their connections to some model geometries.

Mathematical Methods in the Applied SciencesVol. 48(8)
Abu Dhabi University (AE), Xiamen University Malaysia (MY)
Openalex Percentile: Top 71%
Geometric Analysis and Curvature Flows
DOISourceOpenAlex
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The Ricci flow for circle bundles over surfaces — Georgios Fotopoulos, Arash Bazdar · Mathematical Methods in the Applied Sciences (2024) | TGRS Research Map | TGRS