A Characterization of CR Quadrics with a Symmetry Property

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• 作者：Andrea Altomani (1) andrea.altomani@uni.lu
  Costantino Medori (2) costantino.medori@unipr.it
• 关键词：CR quadric – ; Homogeneous CR manifold – ; Levi– ; Tanaka algebra – ; Involutive automorphism
• 刊名：Journal of Geometric Analysis
• 出版年：2012
• 出版时间：July 2012
• 年：2012
• 卷：22
• 期：3
• 页码：892-909
• 全文大小：349.6 KB
• 参考文献：1. Altomani, A., Medori, C., Nacinovich, M.: The CR structure of minimal orbits in complex flag manifolds. J. Lie Theory 16, 483–530 (2006)
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• 作者单位：1. Research Unit in Mathematics, University of Luxembourg, 6, rue Coudenhove-Kalergi, 1359 Luxembourg, Luxembourg2. Dipartimento di Matematica, Universit脿 di Parma, Parco Area delle Scienze 53/A, 43124 Parma, Italy
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Differential Geometry
  Convex and Discrete Geometry
  Fourier Analysis
  Abstract Harmonic Analysis
  Dynamical Systems and Ergodic Theory
  Global Analysis and Analysis on Manifolds
  
• 出版者：Springer New York
• ISSN：1559-002X

文摘

We study CR quadrics satisfying a symmetry property ([(S)\tilde])(\tilde{S}) which is slightly weaker than the symmetry property (S), recently introduced by W. Kaup, which requires the existence of an automorphism reversing the gradation of the Lie algebra of infinitesimal automorphisms of the quadric.