Heisenberg群中乘积曲面平均曲率流的孤子解

封迪,于延华

Journal of Jilin University(Science Edition)(2021)

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Abstract
首先,将Heisenberg群中对应的无穷小生成元作用在乘积曲面上,得到4种单参数曲面族;其次,用分析的方法建立3种非平凡曲面族的平均曲率流方程,得到了平均曲率流的存在时间以及两类曲面族极小平均曲率流的孤子解是马鞍面的结论.
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