Rigidity of holomorphic curves of constant curvature in G(2,5)

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• 作者：Ling He^a ; ^{heling11b@mails.ucas.ac.cn" class="auth_mail" title="E-mail the corresponding author} ; Xiaoxiang Jiao^b ; ^{xxjiao@ucas.ac.cn" class="auth_mail" title="E-mail the corresponding author} ; Xianchao Zhou^c ; ^{zhouxianch07@zjut.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 53C42 ; 53C55
• 刊名：Differential Geometry and its Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：43
• 期：Complete
• 页码：21-44
• 全文大小：504 K

文摘

In this paper, we firstly use Aithal's results to obtain some characterization of the harmonic sequence generated by linearly full non-degenerate holomorphic curves in the complex Grassmann manifold class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0926224515000959&_mathId=si1.gif&_user=111111111&_pii=S0926224515000959&_rdoc=1&_issn=09262245&md5=fb7143d750eeb035387068fa78884e5c" title="Click to view the MathML source">G(2,5)class="mathContainer hidden">class="mathCode">$G(2,5)$. Then we give a classification theorem of linearly full totally unramified holomorphic curves in class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0926224515000959&_mathId=si1.gif&_user=111111111&_pii=S0926224515000959&_rdoc=1&_issn=09262245&md5=fb7143d750eeb035387068fa78884e5c" title="Click to view the MathML source">G(2,5)class="mathContainer hidden">class="mathCode">$G(2,5)$ with constant curvature.