紧化Ricci孤子上改进的振荡估计和Hitchin-Thorpe不等式

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-08-01 DOI:10.1063/5.0152174

H. Tadano

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引用次数: 0

摘要

由Cheng, Ribeiro和Zhou最近的一项研究中引入的紧凑梯度Ricci孤子上的势函数和标量曲率的改进振荡估计的刺激[Proc. Am]。数学。Soc。爵士。[B]，我们给出了紧化四维归一化收缩Ricci孤子满足Hitchin-Thorpe不等式的几个新的充分条件。我们的新条件改进了Tadano得到的Hitchin-Thorpe不等式的有效性[J]。数学。[J] .中国生物医学工程学报，2016,33(5):481 - 481。数学。[j] .中国生物医学工程学报，2016,33(5):487 - 487。几何学。中国生物医学工程学报，2016,36(2):481 - 481。

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Improved oscillation estimates and the Hitchin–Thorpe inequality on compact Ricci solitons

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)].

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.