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In this paper, the Laplacian on the holomorphic tangent bundle T1,0M of
a complex manifold M endowed with a strongly pseudoconvex complex Finsler metric
is defined and its explicit expression is obtained by using the Chern Finsler connection
associated with (M,F). Utilizing the initiated “Bochner technique”, a vanishing theorem
for vector fields on the holomorphic tangent bundle T1,0M is obtained. 相似文献
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本刊总第94,95期刊出了白承铭同志“数学大师的风采——记陈省身先生讲授《微积分及其应用》”一文的最初部分:对这次系列演讲的简介,以及陈先生演讲的第一讲。应读者要求,总第96期刊出了第二讲。本期继续刊出第三讲。讲稿由白承铭、宋敏、云保奇、赵志根等同志记录整理,未经陈先生寓目。刊出时只作了个别文字性处理。 相似文献
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本文是数学大师陈省身先生生前最后一次接受张奠宙教授访问的谈话记录。访问中,陈先生谈了数学、数学教育、中国的数学教育等问题。就在这次访谈一个月后,2004年12月3日,陈先生不幸辞世,这次谈话成了他老人家留给世人关于数学教育的最后一篇忠训。陈省身教授是20世纪一位世界级大数学家和大教育家,他深邃的思想、理念和丰富的阅历、体验,是数学世界的宝贵财富,我们深深怀念他。感谢张奠宙教授在第一时间提供了文稿。 相似文献
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By using the Chern-Finsler connection and complex Finsler metric,the Bochner technique on strong Khler-Finsler manifolds is studied.For a strong Khler-Finsler manifold M,the authors first prove that there exists a system of local coordinate which is normalized at a point v ∈ M-=T 1,0M\o(M),and then the horizontal Laplace operator H for diffierential forms on PTM is defined by the horizontal part of the Chern-Finsler connection and its curvature tensor,and the horizontal Laplace operator H on holomorphic vector bundle over PTM is also defined.Finally,we get a Bochner vanishing theorem for diffierential forms on PTM.Moreover,the Bochner vanishing theorem on a holomorphic line bundle over PTM is also obtained 相似文献
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Finsler geometry is a natural and fundamental generalization of Riemann geometry. The Finsler structure depends on both coordinates and velocities. It is defined as a function on tangent bundle of a manifold. We use the Bianchi identities satisfied by the Chern curvature to set up a gravitation theory in Berwald-Finsler space. The geometric part of the gravitational field equation is nonsymmetric in general. This indicates that the local Lorentz invariance is violated. 相似文献
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<正>题目如图1,已知锐角△ABC满足AB>AC,O、H分别为△ABC的外心、垂心,直线BH与AC交于点B1,直线CH与AB交于点C1.若OH∥B1C1,证明:cos2B+cos2C+1=0.此题是第五届(2014年)陈省身杯全国高中数学奥林匹克第1题,这是一道不落俗套,内涵丰富,解法多样的好题.文[1]中给出了组委会所提供的参考答案,经笔者探究,再给出下面有别于参考答案的新证法. 相似文献
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国际著名数学家陈省身先生对数学学习有一句精辟论述:"数学好玩".本文结合一例中考题对此予以诠释,仅供读者探究.例(2011,呼和浩特中考)若x2-3x+1=0,则 相似文献