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FORM: 作品数：1667被引量：1683H指数：15; 导出分析报告; 相关领域：理学更多>>; 相关作者：姜潮费树岷柴琳吴志强郭彪更多>>; 相关机构：山东永乾陶瓷科技有限公司复旦大学清华大学浙江大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金国家高技术研究发展计划更多>>

A Cheeger-Müller Theorem for Delocalized L^(2)-analytic Torsion Form: 《Acta Mathematica Sinica,English Series》2024年第11期2615-2670,共56页Guo Lin AN; Supported by Nankai Zhide Foundation。; In this paper we define the delocalized L^(2)-analytic torsion form and the delocalized L^(2)-combinatorial torsion form.By using the method of Bismut-Goette,under the conditions of positive Novikov-Shubin invariants,...; 关键词：Delocalized trace Novikov-Shubin invariant delocalized L^(2)-analytic torsion form delocalized L^(2)-combinatorial torsion form

On Affine Hypersurfaces with Parallel Cubic Form Relative to Affineα-connection: 《Acta Mathematica Sinica,English Series》2024年第4期1099-1114,共16页Ce Ce LI Cheng XING Hui Yang XU; supported by NNSF of China(Grant No.11401173);supported by NNSF of China(Grant No.12171437);supported by NNSF of China(Grant No.12101194)。; Similar to Nomizu-Pinkall's geometric characterization of the Cayley surface and Hu-Li-Zhang's characterization of the Cayley hypersurface,how can one characterize the generalized Cayley hypersurfaces?In this paper,by...; 关键词：Affine hypersurface parallel cubic form affineα-connection Einstein metric

On Submanifolds of the Unit Sphere with Vanishing Mobius Form and Parallel Para-Blaschke Tensor: 《Acta Mathematica Sinica,English Series》2022年第2期347-370,共24页Hong Ru SONG Xi Min LIU; Supported by Foundation of Natural Sciences of China(Grant Nos.11671121,11871197,11431009)。; The para-Blaschke tensor are extended in this paper from hypersurfaces to general higher codimensional submanifolds in the unit sphere S^(n),which is invariant under the Mobius transformations on Sn.Then some typical ...; 关键词：Parallel Blaschke tensor vanishing Mobius form constant scalar curvature parallel mean curvature vector field

Classifications of Isoparametric Hypersurfaces in Randers Space Forms被引量：2: 《Acta Mathematica Sinica,English Series》2020年第9期1049-1060,共12页Qun HE Pei Long DONG Song Ting YIN; Supported by NNSFC(Grant Nos.11471246 and 11971253);AHNSF(Grant No.1608085MA03);KLAMFJPU(Grant No.SX201805);The authors would like to thank the referees for their time and valuable comments.; In this paper,we give the complete classifications of isoparametric hypersurfaces in Randers space forms.By studying the principal curvatures of anisotropic submanifolds in a Randers space(N,F)with the navigation data...; 关键词：Isoparametric HYPERSURFACE Randers space FORM principal CURVATURE ANISOTROPIC sub-manifold

Regular Space-like Hypersurfaces in S1^m+1 with Parallel Para-Blaschke Tensors被引量：6: 《Acta Mathematica Sinica,English Series》2017年第10期1361-1381,共21页Xing Xiao LI Hong Ru SONG; Supported by Foundation of Natural Sciences of China(Grant Nos.11671121,11171091 and 11371018); In this paper, we give a complete conformal classification of the regular space-like hyper- surfaces in the de Sitter Space S~＋1 with parallel para-Blaschke tensors.; 关键词：Conformal form parallel para-Blaschke tensor conformal metric conformal second fun-damental form constant scalar curvature constant mean curvature

Complete Hypersurfaces with Constant Laguerre Scalar Curvature in R^n: 《Acta Mathematica Sinica,English Series》2016年第6期715-724,共10页Jian Bo FANG Feng Jiang LI; supported by Scienticfic Research Fund of Yunnan Provincial Education Department(Grant No.2014Y445);supported by Scienticfic Research Fund of Yunnan Provincial Education Department(Grant No.2015Y101);Yunnan Applied Basic Research Young Project; Let x ： M^n-1→ R^n be an umbilical free hypersurface with non-zero principal curvatures. Two basic invariants of M under the Laguerre transformation group of Rn are Laguerre form C and Laguerre tensor L. In this pap...; 关键词：Laguerre isoparametric hypersurface Laguerre second fundamental form Laguerre metric Laguerre form parallel Laguerre form

On Laguerre Form and Laguerre Isoparametric Hypersurfaces: 《Acta Mathematica Sinica,English Series》2015年第3期501-510,共10页Jian Bo FANG; Supported by Scienticfic Research Fund of Yunnan Provincial Education Department(Grant No.2014Y445); Let x ： M^n-1→ R^nbe an umbilical free hypersurface with non-zero principal curvatures.M is called Laguerre isoparametric if it satisfies two conditions, namely, it has vanishing Laguerre form and has constant Lauer...; 关键词：Laguerre isoparametric hypersurface Laguerre second fundamental form Laguerre metric Laguerre form parallel Laguerre form

A Vanishing Result for Donaldson Thomas Invariants of P^1 Scroll: 《Acta Mathematica Sinica,English Series》2014年第12期2079-2084,共6页Huai Liang CHANG; Partially supported by Hong Kong GRF(Grant No.600711); Let S be a smooth algebraic surface and let L be a line bundle on S.Suppose there is a holomorphic two form over S with zero loci to be a curve C.We show that the DonaldsonThomas invariant of the P^1 scroll X = P（L＋...; 关键词：Cosection DT invariants two form

On the Convergence Behavior of Conformal Immersion Sequence from Cylinders: 《Acta Mathematica Sinica,English Series》2014年第6期1050-1060,共11页Li CHEN; Supported by National Natural Science Foundation of China(Grant No.11201131); In this paper, we are concerned with the convergence behavior of a sequence of conformal immersions {fn} from long cylinders Pn with Pn｜Afn｜2＋ μ（fn（Pn））〈 Λ. We show that if {fn} does not converge to a point...; 关键词：Conformal immersion blow up the second fundament form

Spectral Gap and Convergence Rate for Discrete-time Markov Chains被引量：4: 《Acta Mathematica Sinica,English Series》2013年第10期1949-1962,共14页Yong Hua MAO Yan Hong SONG; Supported in part by 985 Project,973 Project(Grant No.2011CB808000);National Natural Science Foundation of China(Grant No.11131003);Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20100003110005);the Fundamental Research Funds for the Central Universities; Abstract Let P be a transition matrix which is symmetric with respect to a measure π. The spectral gap of P in L2（π）-space, denoted by gap（P）, is defined as the distance between 1 and the rest of the spectrum of...; 关键词：Spectral gap convergence rate geometric ergodicity TRANSIENCE strong ergodicity uni-form decay

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