Abstract
In this paper, we prove that two linearly full holomorphic curves in a hyperquadric \(Q_n\), \(n\ge 2\), are congruent if their first fundamental forms and all kth covariant derivatives of the second fundamental forms, \(k=0,1,\ldots ,[\frac{|n-3|}{2}]\), are all the same.
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Acknowledgements
The first author is supported by the NSFC (Grant No. 11401481) and the Research Enhancement Fund and Continuous Support Fund of Xi’an Jiaotong-Liverpool University (REF-18-01-03, RDF-SP-43). The second author is supported by the NSFC (Grant No. 11301273), the NSF of the Jiangsu Higher Education Institutions of China (17KJA110002) and the Natural Science Foundation of Jiangsu Province (BK20181381).
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Fei, J., Wang, J. Rigidity theorem for holomorphic curves in a hyperquadric \(Q_n\). manuscripta math. 165, 363–380 (2021). https://doi.org/10.1007/s00229-020-01229-8
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DOI: https://doi.org/10.1007/s00229-020-01229-8