• 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}
}
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. 

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

. 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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