Ricci flow on modified Riemann extensions

2015/05/03 by H. G. Nagaraja, Nagaraja, H. G., D Harish +1
Mathematics · Physics and Astronomy · #53C20 #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1505.02752

openalex publication_date 2015/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the properties of Modified Riemann extensions evolving under Ricci flow. We obtain the necessary and sufficient condition for modified Riemann extension under Ricci flow to stay as modified Riemann extension. We also discuss the properties of the curvature tensors under Ricci flow.

Citations

• Four-dimensional Einstein spaces on Six-dimensional Ricci-flat base space

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