Partial integrability on Thurston manifolds

Hyeseon Kim

Annales Polonici Mathematici (2013)

  • Volume: 109, Issue: 3, page 261-269
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Hyeseon Kim. "Partial integrability on Thurston manifolds." Annales Polonici Mathematici 109.3 (2013): 261-269. <http://eudml.org/doc/280818>.

@article{HyeseonKim2013,
abstract = {We determine the maximal number of independent holomorphic functions on the Thurston manifolds $M^\{2r+2\}$, 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 $θ =(θ¹,..., θ^\{r+1\})$ are independent (1,0)-forms.},
author = {Hyeseon Kim},
journal = {Annales Polonici Mathematici},
keywords = {almost complex manifold; -holomorphic function; Newlander-Nirenberg theorem; Thurston manifold},
language = {eng},
number = {3},
pages = {261-269},
title = {Partial integrability on Thurston manifolds},
url = {http://eudml.org/doc/280818},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Hyeseon Kim
TI - Partial integrability on Thurston manifolds
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 3
SP - 261
EP - 269
AB - We determine the maximal number of independent holomorphic functions on the Thurston manifolds $M^{2r+2}$, 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 $θ =(θ¹,..., θ^{r+1})$ are independent (1,0)-forms.
LA - eng
KW - almost complex manifold; -holomorphic function; Newlander-Nirenberg theorem; Thurston manifold
UR - http://eudml.org/doc/280818
ER -

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