2021
DOI: 10.48550/arxiv.2111.09532
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Volume comparison theorem with respect to sigma-2 curvature

Abstract: In this paper, we consider the volume comparison theorem related to σ 2 curvature. We proved that if the σ 2 curvature of sphere is greater than σ 2 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.

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