Volume comparison with respect to scalar curvature
نویسندگان
چکیده
In this article, we investigate the volume comparison with respect to scalar curvature. particular, show holds for small geodesic balls of metrics near a V-static metric. For closed manifold, prove strictly stable Einstein As applications, give partial answer conjecture Bray and recover result Besson, Courtois Gallot, which partially confirms Schoen about hyperbolic manifold. Applying analogous techniques, obtain different proof local rigidity due Dai, Wang Wei, shows it admits no metric positive curvature Ricci-flat metrics.
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2023
ISSN: ['2157-5045', '1948-206X']
DOI: https://doi.org/10.2140/apde.2023.16.1