偶数维Damek-Ricci空间的曲率

偶数维Damek-Ricci空间的曲率 Curvature of Even-Dimensional Damer-Ricci Spaces 连保胜 LIAN Bao-sheng 1 2 first-author 朱赋鎏 ZHU Fu-liu 1 2 武汉大学数学与统计学院 武汉大学数学与统计学院 School of Mathematics and Stastistics, Wuhan University School of Mathematics and Stastistics, Wuhan University 武汉大学数学与统计学院,湖北,武汉,430072 武汉大学数学与统计学院,湖北,武汉,430072 选取最低偶数维的非Riemann对称的Damek Ricci空间,即秩为5的部分八元数Heisenberg群的一维可解扩张,构造出一种14维Damek Ricci空间,它的截面曲率的上界可以达到0. Choosing the lowest even-dimensional non-symmentric Damek-Ricci spaces. That is to say: using the solvable extemtion of rank 5 from part Octonional Henserberg group to construct 14-Demmensional non-symmetric Damek-Ricci space, its sectional curvature can get to zero. Damek-Ricci空间 Heisenberg代数 截面曲率 八元数代数 Damek-Ricci space Heisenberg algebra seltional curvature octionional algebra O189 2004-01-01 2021-04-01 1