Real Hypersurfaces in Unimodular Complex Surfaces

  title={Real Hypersurfaces in Unimodular Complex Surfaces},
  author={Robert J Bryant},
A unimodular complex surface is a complex 2-manifold X endowed with a holomorphic volume form Υ. A strictly pseudoconvex real hypersurface in X inherits not only a CR-structure but a canonical coframing as well. In this article, this canonical coframing is defined, its invariants are discussed and interpreted geometrically, and its basic properties are studied. A natural evolution equation for strictly pseudoconvex real hypersurfaces in unimodular complex surfaces is defined, some of its… CONTINUE READING

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