As in [1,6], let Гn be the n-dimensional Clifford group, i.e., the set of all elements in n-dimensional Clifford algebra An, which can be expressed as a finite product of non-zero-vertors and SL(2, Гn) denote the gr...As in [1,6], let Гn be the n-dimensional Clifford group, i.e., the set of all elements in n-dimensional Clifford algebra An, which can be expressed as a finite product of non-zero-vertors and SL(2, Гn) denote the group of n-dimensional Clifford matrices A=(α b c d)which satisfy:展开更多
设x:M2?S3是S3中曲面,平均曲率和Gauss曲率分别为H、K,非负泛函(x)(H2 K 1)dM M W????的一个临界曲面称为一个Willmore曲面,可用4阶方程描述。一个等温曲面是指局部存在共形参数同时又是曲率参数,可用4阶方程描述。本论文证明了一个既是...设x:M2?S3是S3中曲面,平均曲率和Gauss曲率分别为H、K,非负泛函(x)(H2 K 1)dM M W????的一个临界曲面称为一个Willmore曲面,可用4阶方程描述。一个等温曲面是指局部存在共形参数同时又是曲率参数,可用4阶方程描述。本论文证明了一个既是Willmore又是等温的曲面对应椭圆方程84 1 0ww ce?????,c?0,其中?为曲面的度量的Laplacian算子,此二阶椭圆方程在Moebius群中不变。展开更多
基金The research was partly supported by NSFC,Soft Project of Science and Technology of Hunan Province and the Foundation for Scholars back from Foreign Countries.
文摘As in [1,6], let Гn be the n-dimensional Clifford group, i.e., the set of all elements in n-dimensional Clifford algebra An, which can be expressed as a finite product of non-zero-vertors and SL(2, Гn) denote the group of n-dimensional Clifford matrices A=(α b c d)which satisfy:
文摘设x:M2?S3是S3中曲面,平均曲率和Gauss曲率分别为H、K,非负泛函(x)(H2 K 1)dM M W????的一个临界曲面称为一个Willmore曲面,可用4阶方程描述。一个等温曲面是指局部存在共形参数同时又是曲率参数,可用4阶方程描述。本论文证明了一个既是Willmore又是等温的曲面对应椭圆方程84 1 0ww ce?????,c?0,其中?为曲面的度量的Laplacian算子,此二阶椭圆方程在Moebius群中不变。
