Harmonic transforms of complete Riemannian manifolds

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• 作者：S. E. Stepanov ; I. I. Tsyganok
• 关键词：polar Riemannian manifold ; harmonic transformation ; Ricci solitons ; vanishing theorems
• 刊名：Mathematical Notes
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：100
• 期：3-4
• 页码：465-471
• 全文大小：574 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1573-8876
• 卷排序：100

文摘

Vanishing theorems for harmonic and infinitesimal harmonic transformations of complete Riemannian manifolds are proved. The proof uses well-known Liouville theorems on subharmonic functions on noncompact complete Riemannian manifolds.