Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature
classification
🧮 math.DG
keywords
bach-flatcompactconstantcurvaturepositiverigidityscalartheorems
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In this paper, we prove some rigidity theorems for compact Bach-flat $n$-manifold with the positive constant scalar curvature. In particular, our conditions in Theorem 1.4 have the additional properties of being sharp.
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