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国家自然科学基金(10171024): 作品数：12被引量：5H指数：1; 导出分析报告; 相关作者：韩友发雷逢春杨盛武赵岩刘海燕更多>>; 相关机构：辽宁师范大学哈尔滨工业大学吉林大学更多>>; 相关期刊：《Chinese Quarterly Journal of Mathematics》《数学物理学报（A辑）》《吉林大学学报（理学版）》《Acta Mathematica Sinica,English Series》更多>>; 相关主题：英文D-STING3-MANIFOLD不可压缩曲面更多>>; 相关领域：理学自然科学总论更多>>

Incompressible Surfaces in Almost Alternating Link Exteriors: 《Chinese Quarterly Journal of Mathematics》2007年第4期621-626,共6页HAN You-fa NIU Fang-ping ZHANG Fang; Supported by NSF of China(10171024);Supported by Liaoning Educational Committee(05L208); In this paper, we discuss mainly the properties of incompressible pairwise incomprcssiblc surfaccs in ahnost altcrnating link complcmcnts. Lct L bc a almost link and lct F be an incompressible pairwise incompressible ...; 关键词：ahnost alternating link incompressible pairwise incompressible surface standard position zenus

Minimal D-splitting and SD-splitting for a Compression Body: 《Northeastern Mathematical Journal》2006年第3期323-328,共6页李阳雷逢春; Supported in part by a grant (No.10171024) of NSFCa grant of the outstanding Youth fellowship of Hei Long Jiang Province; In this paper, we fix the genus of SD-splittings of a compression body. We also discuss the uniqueness for minimal D-splittings and SD-splittings for a handlebody.; 关键词：compression body SD-splitting SD-genus

SD-splittings for Some Bordered 3-Manifolds: 《Acta Mathematica Sinica,English Series》2006年第5期1481-1484,共4页Feng Chun LEI Yang LI; Work supported in part by a grant (No.10171024) of NSFC;a grant of the Outstanding Youth Fellowship of Heilongjiang Province; In the present paper, we characterize the bordered 3-manifolds with genus 1 D-splittings and SD-splittings. We also describe a minimal genus SD-splitting for a handlebody and surface × I.; 关键词：HANDLEBODY SD-splitting genus of SD-splitting

关于3-球面中图的抽象平面性(英文): 《黑龙江大学自然科学学报》2006年第1期56-58,共3页秦家虎雷逢春; SupportedbytheNaturalScienceFoundationofChina(10171024); 令Γ是S3中的一个抽象平面图,Γ′是在图Γ上加上有限条边后所得到的图.主要考虑图Γ′的抽象平面性,并且给出了Γ′是抽象平面图的一个充要条件,另外还从平坦嵌入的角度对平面图做了一些讨论.; 关键词：抽象平面的平面的平坦嵌入

2-Compressible non-Heegaard surfaces in small 3-manifolds: 《Science China Mathematics》2005年第11期1499-1504,共6页LEI Fengchun GUO Xiao; supported in part by the National Natural Science Foundation of China(Grant No.10171024);a grant of the outstanding youth fellowship of Heilongjiang Province.; In the present paper, we investigate the non-Heegaard 2-compressible surfaces in small 3-manifolds, and show that such surfaces have some good properties.; 关键词：COMPRESSIBLE surface 2-compressible surface small 3-MANIFOLD

一类空间图的顶点同伦与delta顶点同伦: 《黑龙江大学自然科学学报》2005年第5期566-569,共4页雷逢春陈娟娟; 国家自然科学基金资助项目(10171024);黑龙江省杰出青年基金资助项目; C lasp-pass移动是Habiro1993年在定向链环上引入的一个局部移动的概念.研究了几乎相邻的图,得到以下结论:对于一个几乎相邻图G,若它不包含价为1的顶点,则G的空间嵌入上的任意clasp-pass移动都可通过Δ-同伦来实现.作为推论,有:设f,g:G...; 关键词：空间图 clasp-pass移动顶点同伦 delta顶点同伦

On δ-reducible Heegaard Splittings: 《Journal of Mathematical Research and Exposition》2005年第2期287-291,共5页马继明雷逢春; the National Natural Science Foundation of China (10171024, 10171038); In this paper, we shall prove that any Heegaard splitting of a δ-reducible 3-manifold M, say M = W U V, can be obtained by doing connected sums, boundary connected sums and self-boundary connected sums from Heegaard ...; 关键词：connected sum boundary connected sum self-boundaxy connected sum.

Equivalent Separating Curves on Surfaces and Its Applications to Haken Spheres: 《Northeastern Mathematical Journal》2005年第1期1-4,共4页沈广艳雷逢春廖公夫; Supported in part by a grant (10171024) of NSFC a grant of the outstanding Youth fellowship of Hei Long Jiang Province.; 1 Introduction Let A be a collection of n pairwise disjoint simple closed curves on an orientable closed surface F of genus n ≥2. We say that A is a complete system of F if the surface obtained by cutting F along A i...; 关键词：separating curve with respect to a partition Haken sphere weakly equivalent Haken sphere

交错环链补中不可压缩曲面的性质被引量：3: 《吉林大学学报（理学版）》2005年第1期16-19,共4页韩友发赵岩杨盛武; 国家自然科学基金(批准号:10171024);辽宁师范大学资助项目基金(批准号:202202).; 设L是S3中的一个交错环链,将L投影到S2上,L的每个交叉点都对应一个bubble,用来体现L的交叉点性质.如果L有n个交叉点,则投影图就有n个bubble与之对应,从而在S3中构造了2个二维球面S2+和S2-.设F是S3-L中的不可压缩、分段不可压缩曲面,并...; 关键词：交错环链亏格不可压缩曲面

环链的Jones多项式被引量：1: 《数学物理学报（A辑）》2004年第4期485-490,共6页韩友发; 国家自然科学基金(10171024)辽宁师范大学基金(202202)资助; 该文讨论了几何分离的环链(GSL)和代数分离的环链(ASL)的Jones多项式的微分性质. 同时,也讨论了纽结与之相关的性质.; 关键词：环链 JONES多项式几何分离代数分离

国家自然科学基金(10171024)