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A Note on the Cesàro Condition for Curves in the Three-Dimensional Heisenberg Group

Huang, Yen-Chang
arXiv (All) · Papers
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differential-geometry
We study three consequences of the adapted Frenet--Serret formulas for horizontally regular curves in the three-dimensional Heisenberg group $\mathbb{H}_1$, viewed as the flat model in pseudo-Hermitian geometry. First, we derive the Cesàro immobility system and solve it explicitly under the fixed st
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