• Corpus ID: 244345621

# Volume comparison theorem with respect to sigma-2 curvature

@inproceedings{Fang2021VolumeCT,
title={Volume comparison theorem with respect to sigma-2 curvature},
author={Yi Fang and Yan Mary He and Jingyang Zhong},
year={2021}
}
• Published 18 November 2021
• Mathematics
In this paper, we consider the volume comparison theorem related to σ2 curvature. We proved that if the σ2 curvature of sphere is greater than σ2 curvature of Einstein manifold with positive Ricci curvature, than we have the volume of sphere is less than the volume of the sphere with standard metrics.
1 Citations

### On the $$\sigma _2$$-curvature and volume of compact manifolds

• Mathematics
Annali di Matematica Pura ed Applicata (1923 -)
• 2022
. In this work we are interested in studying deformations of the σ 2 -curvature and the volume. For closed manifolds, we relate critical points of the total σ 2 -curvature functional to the σ 2

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