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The differential geometry of curves in B1×R

類別:期刊論文

學年 / 學期:112-1

出版日期:2023-12-16 00:00:00

著者:Pak Tung Ho, Yen-Chang Huang

著錄名稱、卷期、頁數:Journal of Geometric Analysis 34(2), 43

摘要: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 .

關鍵字:CR manifolds;Curves;Fundamental theorem of curves;Curvatures;invariants

語言:en

ISSN:1559-002X

期刊性質:國外

收錄於:SCI

通訊作者:Yen-Chang Huang

審稿制度:

國別:USA

出版型式:電子版