Rigidity theorem for holomorphic curves in a hyperquadric Qn

Jie Fei; Jun Wang

doi:10.1007/s00229-020-01229-8

Rigidity theorem for holomorphic curves in a hyperquadric Q_n

Jie Fei
, Jun Wang^*

^*Corresponding author for this work

Department of Pure Mathematics

Nanjing Normal University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we prove that two linearly full holomorphic curves in a hyperquadric Q_n, n≥ 2 , are congruent if their first fundamental forms and all kth covariant derivatives of the second fundamental forms, k=0,1,…,[|n-3|2], are all the same.

Original language	English
Pages (from-to)	363-380
Number of pages	18
Journal	Manuscripta Mathematica
Volume	165
Issue number	3-4
DOIs	https://doi.org/10.1007/s00229-020-01229-8
Publication status	Published - Jul 2021

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10.1007/s00229-020-01229-8

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title = "Rigidity theorem for holomorphic curves in a hyperquadric Qn",

abstract = "In this paper, we prove that two linearly full holomorphic curves in a hyperquadric Qn, n≥ 2 , are congruent if their first fundamental forms and all kth covariant derivatives of the second fundamental forms, k=0,1,…,[|n-3|2], are all the same.",

author = "Jie Fei and Jun Wang",

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AU - Wang, Jun

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AB - In this paper, we prove that two linearly full holomorphic curves in a hyperquadric Qn, n≥ 2 , are congruent if their first fundamental forms and all kth covariant derivatives of the second fundamental forms, k=0,1,…,[|n-3|2], are all the same.

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AN - SCOPUS:85088434042

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SP - 363

EP - 380

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

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ER -

Rigidity theorem for holomorphic curves in a hyperquadric Qn

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Rigidity theorem for holomorphic curves in a hyperquadric Q_n