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

Jialong Deng

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arXiv · 1907.02723

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

Jialong Deng

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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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Jialong Deng. 2019-07-05. A note about scalar curvature on the total space of a vector bundle. https://arxiv.org/abs/1907.02723

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