Harmonic maps in unfashionable geometries

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• 作者：Francis Burstall and Udo Hertrich-Jeromin
• 刊名：manuscripta mathematica
• 出版年：2002
• 出版时间：June 2002
• 年：2002
• 卷：108
• 期：2
• 页码：171-189
• 全文大小：167 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebraic Geometry
  Topological Groups and Lie Groups
  Geometry
  Number Theory
  Calculus of Variations and Optimal Control
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1785

文摘

 We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in Lie sphere and projective differential geometry. Extrema of these functionals are characterized by harmonicity of this Gauss map.