Curvature Estimates and Gap Theorems for Expanding Ricci Solitons
نویسندگان
چکیده
Abstract We derive a sharp lower bound for the scalar curvature of non-flat and non-compact expanding gradient Ricci soliton provided that is non-negative potential function proper. Upper expander with nonpositive will also be given. Furthermore, we provide sufficient condition being non-negative. Curvature estimates solitons in dimensions three four established. As an application, prove gap theorem on 3D expander.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab257