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Integral of scalar curvature on manifolds with a pole.
- Source :
- Proceedings of the American Mathematical Society; Nov2024, Vol. 152 Issue 11, p4865-4872, 8p
- Publication Year :
- 2024
-
Abstract
- On any complete three dimensional Riemannian manifold with a pole and non-negative Ricci curvature, we show that the asymptotic scaling invariant integral of scalar curvature is equal to a term determined by the asymptotic volume ratio of this Riemannian manifold. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 152
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 179998669
- Full Text :
- https://doi.org/10.1090/proc/16584