Shiping Zhong

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20182026

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math.DG2026

Vortex Filaments in Hermitian Reductive Lie Algebras

Qing Ding, Xiayu Dong, Shiping Zhong

It is well-known that the investigation of vortex filaments (i.e., moving curves) in the Euclidean 3-space $R^{3}$ is an attractive topic both in physics and mathematics. The…

math.DG2018

The Almost Complex Structure on $S^{6}$ and Related Schrodinger Flows

Qing Ding, Shiping Zhong

In this paper, by using the $G_{2}$ -structure on Im $(O) ≅ R^{7}$ from the octonions $O$ , the $G_{2}$ -binormal motion of curves $γ (t, s)$ in $R^{7}$ associa…

Vortex Filaments in Hermitian Reductive Lie Algebras

The Almost Complex Structure on S6 and Related Schrodinger Flows

The Almost Complex Structure on $S^{6}$ and Related Schrodinger Flows