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	1. Some De Lellis-Topping type inequalities on the smooth metric measure spaces
	Meng Meng,ZHANG Shi-Jin
	Mathematics 24 April 2017
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	Abstract:We obtain some De Lellis-Topping type inequalities on the smooth metric measure spaces, some of them are as generalization of De Lellis-Topping type inequality that was proved by Xu Cheng.
	TO cite this article:Meng Meng,ZHANG Shi-Jin. Some De Lellis-Topping type inequalities on the smooth metric measure spaces[OL].[24 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4726517


	2. Weyl's law on RCD*(K,N) metric measure spaces
	ZHANG Hui-Chun,ZHU Xi-Ping
	Mathematics 23 January 2017
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	Abstract:In this paper, we will prove the Weyl's law for the asymptotic formula of Dirichlet eigenvalues on metric measure spaces with generalized Ricci curvature bounded from below.With the restriction of the length, some proofs are omitted here.
	TO cite this article:ZHANG Hui-Chun,ZHU Xi-Ping. Weyl's law on RCD*(K,N) metric measure spaces[OL].[23 January 2017] http://en.paper.edu.cn/en_releasepaper/content/4718085

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	3. Sharp gradient estimate for heat kernels on metric measure spaces with Ricci curvatuer bounded below
	HUANG Jiacheng,ZHANG Huichun
	Mathematics 17 October 2016
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	Abstract:In this paper, we will establish an elliptic local Li-Yau gradient estimate for weak solutions of the heat equation on metric measure spaces with generalized Ricci curvature bounded from below. One of its main applications is a sharp gradient estimate for the logarithm of heat kernels. These results are new even for smooth Riemannian manifolds.
	TO cite this article:HUANG Jiacheng,ZHANG Huichun. Sharp gradient estimate for heat kernels on metric measure spaces with Ricci curvatuer bounded below[OL].[17 October 2016] http://en.paper.edu.cn/en_releasepaper/content/4707092


	4. Assouad dimension and recent development
	Miao Jun Jie
	Mathematics 23 May 2016
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	Abstract:In this article, we will review the definition of Assouad dimension and it background, and the fundamental properties will be summarised. Finally the Assouad dimension of self-similar sets, self-conformal sets and some self-affine set will be introduced.
	TO cite this article:Miao Jun Jie. Assouad dimension and recent development[OL].[23 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4694226


	5. A Class of Shephard type Problems for $L_p$-CentroidBodies
	Zhou Yanping, He Binwu
	Mathematics 14 May 2016
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	Abstract:Lutwak and Zhang proposed the notion of $L_p$-centroid body. Wang and Qi introduced the concept of $L_p$-dual geominimal surface area. Combining both $L_p$-centroid body and $L_p$-dual geominimal surface area, the Shephard type problems for $L_p$-centroid body are researched.
	TO cite this article:Zhou Yanping, He Binwu. A Class of Shephard type Problems for $L_p$-CentroidBodies[OL].[14 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4690561


	6. A Measure and an Evolution Equation for the Group Polarization
	Zhou Yanping, He Binwu
	Mathematics 14 May 2016
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	Abstract:Group polarization phenomenon is that group decision would become more cautious or risky after group discussion, if the group members had cautious or risky views in the beginning. Utilizing of both convex body geometric theory and differential equations, the measure and the evolution equation for the group polarization are established.
	TO cite this article:Zhou Yanping, He Binwu. A Measure and an Evolution Equation for the Group Polarization[OL].[14 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4690558


	7. Notes on Vortex Filament Equation
	SONG Chong
	Mathematics 09 May 2016
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	Abstract:Vortex filament equation is one of the most important equations in classical theory of fluid dynamics. In this note, we study the properties of the evolution surface of the vortex filament and give the reduced forms of the vortex filament equation in different gauge.
	TO cite this article:SONG Chong. Notes on Vortex Filament Equation[OL].[ 9 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4687174


	8. Gauss Map of Skew Mean Curvature Flow
	SONG Chong
	Mathematics 09 May 2016
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	Abstract:The Skew Mean Curvature Flow(SMCF) is a natural generalization of the famous Vortex Filament Equation in higher dimensions. In this note, we show that the Gauss map of the SMCF satisfies a sch flow equation.
	TO cite this article:SONG Chong. Gauss Map of Skew Mean Curvature Flow[OL].[ 9 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4687177


	9. An ODE method of constructing CMC surfaces
	Shiguang Ma
	Mathematics 07 March 2016
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	Abstract:Constant mean curvature (CMC) surfaces are a kind of important objectsin differential geometry. There are many works in this topic and manydifferent methods to construct CMC surfaces, like mean curvature flow and implicit function theorem. Among others, in thispaper we intend to survey several aspects in this area. The main focus are the works of myself. And we willintroduce an ODE method in constructing CMC surfaces at the end of the paper. This method is particularly suitable for the construction in the spaces with axis symmetry.
	TO cite this article:Shiguang Ma. An ODE method of constructing CMC surfaces[OL].[ 7 March 2016] http://en.paper.edu.cn/en_releasepaper/content/4680185


	10. Unstable CMC spheres and outlying CMC spheres in AF 3-manifolds
	Shiguang Ma
	Mathematics 24 February 2016
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	Abstract:One of the central problems in mathematical relativity is the existence and uniqueness of constant mean curvature surfaces. In proving the uniqueness, the stability condition is usually required. In this paper, we introduce a non linear ODE method to construct CMCsurfaces in Riemannian manifolds with symmetry. As an applicationwe construct unstable CMC spheres and outlying CMC spheres in asymptoticallySchwarzschild manifolds with metrics like $g_{ij}=(1+rac{1}{l})^{2}delta_{ij}+O(l^{-2})$.The existence of unstable CMC spheres tells us that the stabilitycondition in Qing-Tian's work “On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds” can not be removedgenerally.
	TO cite this article:Shiguang Ma. Unstable CMC spheres and outlying CMC spheres in AF 3-manifolds[OL].[24 February 2016] http://en.paper.edu.cn/en_releasepaper/content/4678819

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