Inventiones mathematicae

, Volume 120, Issue 1, pp 317–338 | Cite as

Nondeformability of the complex hyperquadric

  • Jun-Muk Hwang


We prove that the complex hyperquadric of dimension ≧3 does not allow nontrivial deformation. We study the orbit structure of certain vector fields defined on the potential deformation and deduce the nondeformability from the attracting property of these vector fields.


Vector Field Orbit Structure Potential Deformation Nontrivial Deformation Complex Hyperquadric 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Jun-Muk Hwang
    • 1
  1. 1.Department of Math.University of Notre DameNotre DameUSA

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