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Partial integrability on Thurston manifolds

Hyeseon Kim — 2013

Annales Polonici Mathematici

We determine the maximal number of independent holomorphic functions on the Thurston manifolds $M^{2 r + 2}$ , r ≥ 1, which are the first discovered compact non-Kähler almost Kähler manifolds. We follow the method which involves analyzing the torsion tensor dθ modθ, where $θ = (θ ¹, . . ., θ^{r + 1})$ are independent (1,0)-forms.

The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains

Hyeseon Kim; Atsushi Yamamori — 2018

Czechoslovak Mathematical Journal

We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan's linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.

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