The complex geometry of two exceptional flag manifolds

19 Feb 2020 Kotschick D. Thung D. K.

We discuss the complex geometry of two complex five-dimensional K\"ahler manifolds which are homogeneous under the exceptional Lie group $G_2$. For one of these manifolds rigidity of the complex structure among all K\"ahlerian complex structures was proved by Brieskorn, for the other one we prove it here... (read more)

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Categories


  • DIFFERENTIAL GEOMETRY
  • ALGEBRAIC GEOMETRY
  • COMPLEX VARIABLES