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Volume growth and positive scalar curvature
- Source :
- Transactions of the American Mathematical Society,2024
- Publication Year :
- 2024
-
Abstract
- For three dimensional complete, non-compact Riemannian manifolds with non-negative Ricci curvature and uniformly positive scalar curvature, we obtain the sharp linear volume growth ratio and the corresponding rigidity.<br />Comment: submitted to some journal
- Subjects :
- Mathematics - Differential Geometry
Subjects
Details
- Database :
- arXiv
- Journal :
- Transactions of the American Mathematical Society,2024
- Publication Type :
- Report
- Accession number :
- edsarx.2405.04001
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1090/tran/9280