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Semi-local simple connectedness of non-collapsing Ricci limit spaces

, 2019
Let $X$ be a non-collapsing Ricci limit space and let $x\in X$. We show that for any $\epsilon>0$, there is $r>0$ such that every loop in $B_t(x)$ is contractible in $B_{(1+\epsilon)t}(x)$, where $t\in(0,r]$.
Pan, Jiayin, Wei, Guofang
core

The Prescribed Ricci Curvature Problem on Homogeneous Spaces with Intermediate Subgroups

, 2017
Consider a compact Lie group $G$ and a closed subgroup $H0$ such that the Ricci curvature of $g$ equals $cT$ for a given $T\in\mathcal M$. This condition is also necessary if the isotropy representation of $M$ splits into two inequivalent irreducible ...
Gould, Mark, Pulemotov, Artem
core

Ricci flow with bounded curvature integrals and Decompositions of the space of Riemannian metrics on a compact manifold with boundary

Ricci flow with bounded curvature integrals and Decompositions of the space of Riemannian metrics on a compact manifold with boundary
【学位授与の要件】中央大学学位規則第4条第1項【論文審査委員主査】芥川　和雄（中央大学理工学部教授）【論文審査委員副査】三松　佳彦（中央大学理工学部教授）、髙倉　樹（中央大学理工学部教授）、趙　晋輝（中央大学理工学部教授）、本多　宣博（東京工業大学理学院教授） application ...
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Applications of Fast Iterative Filtering in NMR Spectroscopy: Baseline Correction. [PDF]