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复射影空间中拟全实极小子流形 被引量:1
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作者 尹松庭 宋卫东 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2011年第1期56-60,共5页
运用活动标架法和Bochner技巧,研究复射影空间CP(n+p)/2中拟全实极小子流形曲率与几何特征的关系,得到了截面曲率和Ricci曲率的刚性定理.证明了:若Mn的截面曲率处处不小n+3/2(n+1)或Ricci曲率处处不小于n+1-3p/n+12p/n2(n≥4),3/4n+2(n... 运用活动标架法和Bochner技巧,研究复射影空间CP(n+p)/2中拟全实极小子流形曲率与几何特征的关系,得到了截面曲率和Ricci曲率的刚性定理.证明了:若Mn的截面曲率处处不小n+3/2(n+1)或Ricci曲率处处不小于n+1-3p/n+12p/n2(n≥4),3/4n+2(n≤4),则p=n,M=RPn. 展开更多
关键词 复射影空间 一般子流形 极小子流形 拟全实子流形
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复射影空间中拟全实极小子流形的谱几何
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作者 尹松庭 宋卫东 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2010年第1期15-20,共6页
研究复射影空间中拟全实极小子流形的谱几何,利用活动标架法并通过计算平均曲率向量的Laplacian,建立了仅与子流形内蕴几何量有关的特征值不等式,将相关结果推广到复射影空间中的一般子流形上,并获得了拟全实极小子流形存在u阶浸入的充... 研究复射影空间中拟全实极小子流形的谱几何,利用活动标架法并通过计算平均曲率向量的Laplacian,建立了仅与子流形内蕴几何量有关的特征值不等式,将相关结果推广到复射影空间中的一般子流形上,并获得了拟全实极小子流形存在u阶浸入的充要条件. 展开更多
关键词 复射影空间 拟全实 极小子流形 谱几何 特征值不等式
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SATVPC:Secure-agent-based trustworthy virtual private cloud model in open computing environments 被引量:2
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作者 徐小龙 涂群 +2 位作者 BESSIS Nik 杨庚 王新珩 《Journal of Central South University》 SCIE EI CAS 2014年第8期3186-3196,共11页
Private clouds and public clouds are turning mutually into the open integrated cloud computing environment,which can aggregate and utilize WAN and LAN networks computing,storage,information and other hardware and soft... Private clouds and public clouds are turning mutually into the open integrated cloud computing environment,which can aggregate and utilize WAN and LAN networks computing,storage,information and other hardware and software resources sufficiently,but also bring a series of security,reliability and credibility problems.To solve these problems,a novel secure-agent-based trustworthy virtual private cloud model named SATVPC was proposed for the integrated and open cloud computing environment.Through the introduction of secure-agent technology,SATVPC provides an independent,safe and trustworthy computing virtual private platform for multi-tenant systems.In order to meet the needs of the credibility of SATVPC and mandate the trust relationship between each task execution agent and task executor node suitable for their security policies,a new dynamic composite credibility evaluation mechanism was presented,including the credit index computing algorithm and the credibility differentiation strategy.The experimental system shows that SATVPC and the credibility evaluation mechanism can ensure the security of open computing environments with feasibility.Experimental results and performance analysis also show that the credit indexes computing algorithm can evaluate the credibilities of task execution agents and task executor nodes quantitatively,correctly and operationally. 展开更多
关键词 cloud computing trustworthy computing VIRTUALIZATION agent
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