Levi-Flat Minimal Hypersurfaces in Two-dimensional Complex Space Forms

  title={Levi-Flat Minimal Hypersurfaces in Two-dimensional Complex Space Forms},
  author={R. Bryant},
  • R. Bryant
  • Published 1999
  • Mathematics, Physics
  • The purpose of this article is to classify the real hypersurfaces in complex space forms of dimension 2 that are both Levi-flat and minimal. The main results are as follows: When the curvature of the complex space form is nonzero, there is a 1-parameter family of such hypersurfaces. Specifically, for each one-parameter subgroup of the isometry group of the complex space form, there is an essentially unique example that is invariant under this one-parameter subgroup. On the other hand, when… CONTINUE READING
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    E-mail address: bryant@math.duke.edu
    • E-mail address: bryant@math.duke.edu