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Improved oscillation estimates and the Hitchin–Thorpe inequality on compact Ricci solitons.
- Source :
-
Journal of Mathematical Physics . Aug2023, Vol. 64 Issue 8, p1-6. 6p. - Publication Year :
- 2023
-
Abstract
- Stimulated by improved oscillation estimates of the potential function and the scalar curvature on compact gradient Ricci solitons introduced in a recent study by Cheng, Ribeiro, and Zhou [Proc. Am. Math. Soc. Ser. B 10, 33–45 (2023)], we give several new sufficient conditions for compact four-dimensional normalized shrinking Ricci solitons to satisfy the Hitchin–Thorpe inequality. Our new conditions refine the validity of the Hitchin–Thorpe inequality obtained by Tadano [J. Math. Phys. 58, 023503 (2017)], Tadano [J. Math. Phys. 59, 043507 (2018)], and Tadano [Differ. Geom. Appl. 66, 231–241 (2019)]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SOLITONS
*OSCILLATIONS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 64
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 171316988
- Full Text :
- https://doi.org/10.1063/5.0152174