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Inspired by a construction due to Hitchin, we produce strongly bihermitian metrics on certain Hopf complex surfaces, which integrate the locally conformally Kaehler metrics found by Gauduchon and Ornea.
K. Kodaira, On the structure of compact complex analytic surfaces
1968
Earlier work this paper cites.
K. Kodaira and J. Morrow, Complex manifolds. Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1971
1971
Earlier work this paper cites.
M. Inoue, On surfaces of class VII 0 {\rm VII}_{0}
1974
Earlier work this paper cites.
F. A. Bogomolov, Classification of surfaces of class VII 0 {\rm VII}_{0} and affine geometry
1976
Earlier work this paper cites.
P. Gauduchon, Le théorème de dualité pluriharmonique
1981
Earlier work this paper cites.
R. Harvey and H. Blaine Lawson, Jr, An intrinsic characterisation of Kähler manifolds
1983
Earlier work this paper cites.
S. J. Gates, C. M. Hull, and M. Roc̆ek, Twisted multiplets and new supersymmetric nonlinear sigma models
1984
Earlier work this paper cites.
P. Gauduchon, La 1-forme de torsion d’une variété hermitienne compacte
1984
Earlier work this paper cites.
C. P. Boyer, A note on hyperhermitian four-manifolds
1988
Earlier work this paper cites.
M. Kato, Topology of Hopf surfaces
1989
Earlier work this paper cites.
M. Kato, Compact Differentiable 4 4 -folds with Quaternionic structures
1989
Earlier work this paper cites.
S. Salamon, Special structures on 4-manifolds
1991
Cited alongside, same era.
J. Li, S.-T. Yau, and F. Zheng, On projectively-flat hermitian manifolds
1994
Cited alongside, same era.
A. Teleman, Projectively-flat surfaces and Bogomolov’s theorem on class VII 0 {\rm VII}_{0} surfaces
1994
Cited alongside, same era.
V. Apostolov and P. Gauduchon, The Riemannian Goldberg–Sachs Theorem
1997
Cited alongside, same era.
M. Pontecorvo, Complex structures on Riemannian four-manifolds
1997
Cited alongside, same era.
P. Gauduchon and L. Ornea, Locally conformally Kähler metrics on Hopf surfaces
1998
Cited alongside, same era.
W. Barth, K. Hulek, C. Peters, and A. Van de Ven, Compact Complex Surfaces, Springer, Heidelberg, Second Edition, 2004
2004
Later among the works it cites.
V. Apostolov, P. Gauduchon, and G. Grantcharov, Bihermitian structures on complex surfaces
2006
Later among the works it cites.
G. Dloussky, On surfaces of class VII 0 + {\rm VII}_{0}^{+} with numerically anticanonical divisor
2006
Later among the works it cites.
N. J. Hitchin, Instantons and generalized Kähler geometry
2006
Later among the works it cites.
N. J. Hitchin, Bihermitian metrics on Del Pezzo Surfaces
2006
Later among the works it cites.
Y. Lin and S. Tolman, Symmetries in generalized Kähler geometry
2006
Later among the works it cites.
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P. Kobak, Explicit doubly-Hermitian metrics
1999
Cited alongside, same era.
V. Apostolov, Bihermitian surfaces with odd first Betti number
2001
Cited alongside, same era.
M. Gualtieri, Generalized complex geometry
2003
Cited alongside, same era.
N. J. Hitchin, Generalized Calabi-Yau manifolds
2003
Cited alongside, same era.
P. Gauduchon, Le premier espace de cohomologie de deRham d’une surface complexe à premier nombre de Betti impair
Cited in the paper.
A. Teleman, The pseudo-effective cone of a non-Kählerian surface and applications
2006
Later among the works it cites.
V. Apostolov and M. Gualtieri, Generalized Kähler manifolds, Commuting Complex Structures, and Split Tangent Bundles
2007
Closest in time.
H. Bursztyn, G. R. Cavalcanti and M. Gualtieri, Reduction of Courant algebroids and generalized complex structures
2007
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R. Goto, Deformations of generalized complex and generalized Kähler structures
2007
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