国家自然科学基金(10971170)

作品数：6被引量：6H指数：2
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相关作者：汤冬梅钟春平吴燕瑜更多>>
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Strongly convex weakly complex Berwald metrics and real Landsberg metrics被引量：2
《Science China Mathematics》2018年第3期535-544,共10页Yong He Chunping Zhong 
supported by Program for New Century Excellent Talents in University (Grant No. NCET-13-0510);National Natural Science Foundation of China(Grant Nos. 11271304,10971170, 11171277,11571288,11461064 and 11671330);the Fujian Province Natural Science Funds for Distinguished Young Scholar (Grant No.2013J06001);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry
Under the assumption that' is a strongly convex weakly Khler Finsler metric on a complex manifold M, we prove that F is a weakly complex Berwald metric if and only if F is a real Landsberg metric.This result together ...
关键词：strongly convex Kahler Finsler metric complex Berwald metric real Landsberg metric real Berwald metric 
一类具有标量旗曲率的Berwald(α,β)-度量(英文)被引量：1
《数学进展》2012年第2期199-208,共10页汤冬梅 
supported in part by NSFC(No.10601040,No.10971170);Scientific Research Foundation of Xiamen University of Technology(No.YKJ10007R)
本文研究了一类具有F=α+εβ+kα~2/β形式的Finsler度量,其中α=(aijy^iy^j)^(1/2)是Riemann度量,β=b_iy^i是非零1-形式,ε和k≠0是常数。得到了这个Finsler度量的S曲率消失和成为弱Berwald度量的充要条件。另外通过证明发现具有标...
关键词：(Α Β)-度量 S曲率 弱Berwald度量 平均Landsberg曲率 期曲率 
HYPERHOLOMORPHIC THEORY ON KAEHLER MANIFOLDS
《Acta Mathematica Scientia》2012年第2期586-604,共19页汤冬梅 钟同德 邱春晖 
Project supported in part by the National Natural Science Foundation of China (10771174,10601040,10971170);Scientific Research Foundation of Xiamen University of Technology (700298)
First of all, using the relations （2.3）, （2.4）, and （2.5）, we define a complex Clifford algebra Wn and the Witt basis. Secondly, we utilize the Witt basis to define the operators δ and δ on Kaehler manifolds w...
关键词：Kaehler manifolds complex Clifford algebra Witt basis matrix Dirac op-erator matrix Cauchy-Dirac kernel 
Stable P-Harmonic Maps Between Finsler Manifolds
《Acta Mathematica Sinica,English Series》2010年第5期885-900,共16页Jin Tang LI 
Supported by National Natural Science Foundation of China (Grant No. 10971170)
In this paper, we derive the first and second variation formulas for JC-harmonic maps between Finsler manifolds, and when F″≤ 0 and n ≥ 3, we prove that there is no nondegenerate stable F-harmonic map between a Rie...
关键词：F-harmonic maps Finsler manifolds STABILITY 
Laplacians on the holomorphic tangent bundle of a Kaehler manifold被引量：3
《Science China Mathematics》2009年第12期2841-2854,共14页ZHONG ChunPing School of Mathematical Sciences,Xiamen University,Xiamen 361005,China 
supported by the Program for New Century Excellent Talents in Fujian Province and National Natural Science Foundation of China(Grant Nos.10601040,10971170)
Let M be a connected complex manifold endowed with a Hermitian metric g.In this paper,the complex horizontal and vertical Laplacians associated with the induced Hermitian metric <·,·>on the holomorphic tangent bundl...
关键词：Kaehler manifold complex horizontal Laplacian vanishing theorem 32Q15 32L20 
共形复Finsler流形上的交换公式(英文)
《数学研究》2009年第3期231-243,共13页吴燕瑜 钟春平 
supported by Program for New Century Excellent Talents in Fujian Province University;the Natural Science Foundation of China(10601040,10971170)
设M为n维复流形,■～=T^(1,0)M-{0},F为M上的强拟凸复Finsler度量, ■=e~σF为F的共形变换。本文得到定义在■上的各种Hermitian张量场分别关于复Finsler流形(M,F)和(M,■)的复Rund联络求共变微分的各种交换公式。
关键词：交换公式 复Finlser度量 复Rund联络 
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