擬共形映射與單葉性內(nèi)徑中的若干問題.pdf

1、蘇州大學(xué)碩士學(xué)位論文擬共形映射與單葉性內(nèi)徑中的若干問題姓名：沈亞良申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：沈玉良2002.4.1擬共形映射與單葉性內(nèi)徑中的若干問題Absffac!AbstractInthefirstpartofthisarticle，wediscusstheproblemontheinnerradiusofuni—valencyforanequiangularhexagonHwhosesidesformtheseque

2、ncebaabaaL“Wierenprovedthatifl≤b／a≤167117，thenHisaNeharidiskand盯(日)=8／9=口(P6)UsingthemethodsdevelopedbyLWierenweprovethatHisstillaNeharidiskanda(H)=8／9=口(P6)wheno6157Sb／a≤1IntheproofweusetheMathematicasoftwarepackageandt

3、heMaplesoftwarepackageInthesecondpartofthisarticle，weextendsomeresultsonextremalquasiconformalmappingsbetweenhyperbolicRiemannsurfacesOnthesurfaceR=U尼，whereiElevery場(chǎng)isahyperbolicRiemannsurface，尼n局=p，i≠J，andIisanon—emptyi

4、ndexset，weintroducetheconceptsofextremality，uniqueextremality，infinitesimalextremalityanduniqueinfinitesimalextremality，andextendtheHamilton—KrushkalconditionforextremalBeltramidifferentialsofthehyperbolicRiemannsurfacet

5、othiscaseOrealsodiscusstheextremalproblemforTeichmiillerspacesofclosedsubsetsofthesphereandobtainsomesimilarresultsShenYaLiang(ComplexAnalysis)DirectedbyProfShenYuLiangKeywords：theinnerradiusofunivalency；quasiconformalma