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L<sup>2</sup> HARMONIC 1-FORMS ON SUBMANIFOLDS WITH WEIGHTED POINCARÉ INEQUALITY
Chao, Xiaoli,Lv, Yusha Korean Mathematical Society 2016 대한수학회지 Vol.53 No.3
In the present note, we deal with $L^2$ harmonic 1-forms on complete submanifolds with weighted $Poincar{\acute{e}}$ inequality. By supposing submanifold is stable or has sufficiently small total curvature, we establish two vanishing theorems for $L^2$ harmonic 1-forms, which are some extension of the results of Kim and Yun, Sang and Thanh, Cavalcante Mirandola and $Vit{\acute{o}}rio$.
$L^2$ harmonic $1$-forms on submanifolds with weighted Poincar\'{e} inequality
Xiaoli Chao,Yusha Lv 대한수학회 2016 대한수학회지 Vol.53 No.3
In the present note, we deal with $L^2$ harmonic $1$-forms on complete submanifolds with weighted Poincar\'{e} inequality. By supposing submanifold is stable or has sufficiently small total curvature, we establish two vanishing theorems for $L^2$ harmonic $1$-forms, which are some extension of the results of Kim and Yun, Sang and Thanh, Cavalcante Mirandola and Vit\'{o}rio.
LINEAR WEINGARTEN HYPERSURFACES IN RIEMANNIAN SPACE FORMS
Chao, Xiaoli,Wang, Peijun Korean Mathematical Society 2014 대한수학회보 Vol.51 No.2
In this note, we generalize the weak maximum principle in [4] to the case of complete linear Weingarten hypersurface in Riemannian space form $\mathbb{M}^{n+1}(c)$ (c = 1, 0,-1), and apply it to estimate the norm of the total umbilicity tensor. Furthermore, we will study the linear Weingarten hypersurface in $\mathbb{S}^{n+1}(1)$ with the aid of this weak maximum principle and extend the rigidity results in Li, Suh, Wei [13] and Shu [15] to the case of complete hypersurface.
Linear Weingarten hypersurfaces in Riemannian space forms
Xiaoli Chao,Peijun Wang 대한수학회 2014 대한수학회보 Vol.51 No.2
In this note, we generalize the weak maximum principle in [4] to the case of complete linear Weingarten hypersurface in Riemannian space form Mn+1(c) (c = 1, 0,−1), and apply it to estimate the norm of the total umbilicity tensor. Furthermore, we will study the linear Weingarten hypersurface in Sn+1(1) with the aid of this weak maximum principle and extend the rigidity results in Li, Suh, Wei [13] and Shu [15] to the case of complete hypersurface.
VANISHING THEOREMS FOR WEIGHTED HARMONIC 1-FORMS ON SMOOTH METRIC MEASURE SPACES
Xiaoli Chao,Weili Wang Korean Mathematical Society 2023 대한수학회보 Vol.60 No.3
In this paper, we prove some vanishing theorems under the assumptions of weighted BiRic curvature or m-Bakry-Émery-Ricci curvature bounded from below.
The role of PDIA3 in myogenesis during muscle regeneration
Xi Peng,Chao Wang,Yuanjiao Zhu,Dan Wu,Zien Wang,Xiaoli Xu,Yan Shi,Gang Yang,Yongming Yu 생화학분자생물학회 2020 Experimental and molecular medicine Vol.52 No.-
Beta 3 (β3) integrin plays an important role in the initiation of myogenesis in adult muscle. Protein disulfide isomerases (PDIs) can activate β3 integrin in various cells to promote cell migration, adhesion and fusion. However, the effect of PDIs on myogenesis during muscle regeneration has not been elucidated. Here, we report that PDIA3 expression is induced in regenerating myofibers. The inhibition of PDIA3 in muscle injuries in mice disrupts myoblast differentiation, impairs muscle regeneration, and ultimately aggravates muscle damage. Moreover, PDIA3 expression is upregulated and observed on the cell surfaces of myoblasts during differentiation and fusion. The inhibition of extracellular PDIA3 with an anti-PDIA3 monoclonal antibody attenuates β3 integrin/AKT/mTOR signal activity, inhibits myoblast differentiation, and blocks the fusion of myoblasts. Thus, PDIA3 may be a mediator of myoblast differentiation and fusion during muscle regeneration.