Sphere theorems with and without smoothing
نویسندگان
چکیده
Abstract We show two sphere theorems for the Riemannian manifolds with scalar curvature bounded below and non-collapsed $$\mathrm {RCD}(n-1,n)$$ RCD ( n - 1 , ) spaces mean distance close to $$\frac{\pi }{2}$$ π 2 .
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ژورنال
عنوان ژورنال: Journal of Geometry
سال: 2022
ISSN: ['0047-2468', '1420-8997']
DOI: https://doi.org/10.1007/s00022-022-00647-1