Complete $\lambda$-surfaces in $\mathbb R^3$

Qing-Ming Cheng; Guoxin Wei

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arXiv · 1807.06760

Complete $\lambda$-surfaces in $\mathbb R^3$

Qing-Ming Cheng·Guoxin Wei

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Abstract

The purpose of this paper is to study complete $\lambda$-surfaces in Euclidean space $\mathbb R^3$. A complete classification for 2-dimensional complete $\lambda$-surfaces in Euclidean space $\mathbb R^3$ with constant squared norm of the second fundamental form is given.

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Qing-Ming Cheng, Guoxin Wei. 2018-07-18. Complete $\lambda$-surfaces in $\mathbb R^3$. https://arxiv.org/abs/1807.06760

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