KILLING VECTOR FIELDS OF CONSTANT LENGTH ON RIEMANNIAN NORMAL HOMOGENEOUS SPACES

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• 作者：MING XU ; JOSEPH A. WOLF
• 刊名：Transformation Groups
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：21
• 期：3
• 页码：871-902
• 全文大小：446 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Topological Groups and Lie Groups
  Algebra
  
• 出版者：Birkh盲user Boston
• ISSN：1531-586X
• 卷排序：21

文摘

Killing vector fields of constant length correspond to isometries of constant displacement. Those in turn have been used to study homogeneity of Riemannian and Finsler quotient manifolds. Almost all of that work has been done for group manifolds or, more generally, for symmetric spaces. This paper extends the scope of research on constant length Killing vector fields to a class of Riemannian normal homogeneous spaces.(MING XU) Research supported by NSFC no. 11271216, State Scholarship Fund of CSC (no. 201408120020), Science and Technology Development Fund for Universities and Colleges in Tianjin (no. 20141005), and the Doctor fund of Tianjin Normal University (no. 52XB1305)(JOSEPH A. WOLF) Research partially supported by a Simons Foundation grant and by the Dickson Emeriti Professorship at the University of California, Berkeley.