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摘要
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The three-dimensional pseudohermitian manifolds with positive, zero, and negative constant pseudohermitian sectional curvature, respectively, with vanishing pseudohermitian torsion are the Heisenberg group , the CR sphere , and the circle bundle . While the differential geometry of curves in and has been studied before, there has not been any study on the differential geometry of curves in . In this paper, we take the first step in this direction. Among other things, we find the explicit formulas of the p-curvature and T-variation for curves in . We also prove the fundamental theorem of curves in . |
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