Local rigidity of minimal surfaces in a hyperquadric Q2

Jie Fei, Jun Wang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

In this paper, we study rigidity of a minimal immersion f from a surface M into a hyperquadric Q2. It is proved that except a case that f is totally geodesic, totally real with Gauss curvature K=0, then up to a rigidity, f is uniquely determined by the first fundamental form, the second fundamental form and Kähler angle.

Original languageEnglish
Pages (from-to)17-25
Number of pages9
JournalJournal of Geometry and Physics
Volume133
DOIs
Publication statusPublished - Nov 2018

Keywords

  • Hyperquadric
  • Kähler angle
  • Minimal immersion
  • Rigidity
  • The first fundamental form
  • The second fundamental form

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