THE ASSOCIATED FAMILIES OF SEMI-HOMOGENEOUS COMPLETE HYPERBOLIC AFFINE SPHERES

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摘要 Hildebrandclassifiedallsemi-homogeneousconesinR~3andcomputedtheircorrespondingcompletehyperbolicaffinespheres.WecomputeisothermalparametrizationsforHildebrand’snewexamples.Aftergivingtheiraffinemetricsandaffinecubicforms,weconstructthewholeassociatedfamilyforeachofHildebrand’sexamples.ThegenericmemberoftheseaffinespheresisgivenbyWeierstrassP,ζandσfunctions.IngeneralanyregularconvexconeinR~3hasanaturalassociatedS~1-familyofsuchcones,whichdeservesfurtherstudies.
机构地区 不详
出版日期 2016年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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