A note about scalar curvature on the total space of a vector bundle

2019/07/05 by Deng, Jialong
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Dermatological and Skeletal Disorders #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1907.02723

openalex publication_date 2019/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct complete Riemannian metrics to show that the total space of tangent bundles of orientable closed surfaces (except torus) admits complete uniformly PSC-metrics. It gives a partial positive answer to one of Gromov's question.

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