国家自然科学基金(10501046)

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Schwarz’s lemma for the circle packings with the general combinatorics被引量：1
《Science China Mathematics》2010年第2期277-290,共14页XiaoJun Huang JinSong Liu Liang Shen 
supported by National Natural Science Foundation of China (Grant Nos.10701084, 10501046);the Natural Science Foundation of Chongqing, China (Grant No. CSTC2008BB0151)
Rodin (1987) proved the Schwarz’s lemma analog for the circle packings based on the hexagonal combinatorics. In this paper, we prove the Schwarz’s lemma for the circle packings with the general combinatorics and our...
关键词：circle PACKING discrete EXTREMAL length the maximum PRINCIPLE HYPERBOLIC geometry 
An extremality property of Jenkins-Strebel differentials
《Science China Mathematics》2006年第8期1094-1102,共9页LIU Jinsong 
This work was partially supported by the National Natural Science Foundation of China (Grant No. 10501046).
Given a compact Riemann surface S with finitely many punctures, in this paper we obtain a new extremality property of a Jenkins-Strebel differentialψon S. As a consequence, we obtain the solutions of several kinds of...
关键词：Jenkins-Strebel differentials  EXTREMALITY property  moduli. 
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