Minimal surfaces in the complex hyperquadric 𝑄₂ II

Wang, Jun; Xu, Xiaowei

doi:10.1090/S0002-9939-2015-12479-3

Minimal surfaces in the complex hyperquadric $Q_2$ II
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by Jun Wang and Xiaowei Xu

Proc. Amer. Math. Soc. 143 (2015), 2693-2703

DOI: https://doi.org/10.1090/S0002-9939-2015-12479-3

Published electronically: January 21, 2015

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Abstract:

In this paper, minimal surfaces with parallel second fundamental form in $Q_2$ are classified, which are uniquely determined up to a rigidity motion. It is also proved that minimal surfaces in $Q_2$ with constant Gauss curvature and constant normal curvature are totally geodesic.

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