Positive scalar curvature meets Ricci limit spaces

We investigate the influence of uniformly positive scalar curvature on the size of a non-collapsed Ricci limit space coming from a sequence of n -manifolds with non-negative Ricci curvature and uniformly positive scalar curvature. We prove that such a limit space splits at most n - 2 lines or R -fac...

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Veröffentlicht in:	Manuscripta mathematica 2024-11, Vol.175 (3-4), p.943-969
Hauptverfasser:	Wang, Jinmin, Xie, Zhizhang, Zhu, Bo, Zhu, Xingyu
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Curvature Geometry Lie Groups Manifolds Mathematics Mathematics and Statistics Number Theory Splitting Topological Groups Upper bounds
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