Fetching the paper…
Reading the bibliography…
We review some constructions and properties of complex manifolds admitting pluriclosed and balanced metrics.
S.–S. Chern: Characteristic classes of Hermitian manifolds. Ann. of Math
1946
Earlier work this paper cites.
M. L. Michelsohn: On the existence of special metrics in complex geometry. Acta Math
1982
Earlier work this paper cites.
S.J. Gates, C.M. Hull and M. Rocěk: Twisted multiplets and new supersymmetric nonlinear sigma models. Nuclear Phys. B
1984
Earlier work this paper cites.
P. Gauduchon: La 1-forme de torsion d’une variété hermitienne compacte. Math. Ann
1984
Earlier work this paper cites.
H. D. Cao: Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds. Invent. Math
1985
Earlier work this paper cites.
A. Strominger: Superstrings with Torsion, Nuclear Physics B
1986
Earlier work this paper cites.
J.-M. Bismut: A local index theorem for non-Kähler manifolds. Math. Ann
1989
Earlier work this paper cites.
D. Guan: Examples of compact holomorphic symplectic manifolds which are not Kählerian. II. Invent. Math
1995
Earlier work this paper cites.
P. Gauduchon and S. Ivanov: Einstein-Hermitian surfaces and Hermitian Einstein-Weyl structures in dimension 4 4 , Math. Z. 226
1997
Earlier work this paper cites.
P. Gauduchon: Hermitian connections and Dirac operators. Boll. Un. Mat. Ital. B (7)
1997
Earlier work this paper cites.
T. Aubin: Some nonlinear problems in Riemannian geometry
1998
Earlier work this paper cites.
B. Alexandrov and S. Ivanov: Vanishing theorems on Hermitian manifolds. Differential Geom. Appl
2001
Earlier work this paper cites.
S. Salamon: Complex structures on nilpotent Lie algebras. J. Pure Appl. Algebra
2001
Earlier work this paper cites.
T. Friedrich and S. Ivanov: Parallel spinors and connections with skew-symmetric torsion in string theory. Asian J. Math
2002
Earlier work this paper cites.
M. Gualtieri: Generalized complex geometry, Ph.D. thesis, University of Oxford, 2003. arXiv:math.DG/0401221
2003
Cited alongside, same era.
A. Fino, G. Grantcharov: On some properties of the manifolds with skew-symmetric torsion and holonomy SU(n) and Sp(n). Advances in Math
2004
Cited alongside, same era.
A. Fino, M. Parton and S. M. Salamon: Families of strong KT structures in six dimensions. Comment. Math. Helv
2004
Cited alongside, same era.
J. Li, S.-Y. Yau: The Existence of Supersymmetric String Theory with Torsion. J. Differential Geom
2005
Cited alongside, same era.
K. Oeljeklaus and M. Toma: Non-Kähler compact complex manifolds associated to number fields. Ann. Inst. Fourier (Grenoble)
2005
Cited alongside, same era.
J. Lauret: The Ricci flow for simply connected nilmanifolds. Comm. Anal. Geom
2011
Later among the works it cites.
J. Streets and G. Tian: Hermitian curvature flow. J. Eur. Math. Soc. (JEMS)
2011
Later among the works it cites.
L. Vezzoni: On Hermitian curvature flow on almost complex manifolds. Differential Geom. Appl
2011
Later among the works it cites.
N. Enrietti, A. Fino and L. Vezzoni: Tamed symplectic forms and strong Kähler with torsion metrics. J. Symplectic Geom
2012
Later among the works it cites.
J. Fu, J. Li and S.-T. Yau: Balanced metrics on non-Kähler Calabi-Yau threefolds. J. Differential Geom
2012
Later among the works it cites.
J. Lauret: Convergence of homogeneous manifolds. J. Lond. Math. Soc
2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2006
Cited alongside, same era.
V. Apostolov and M. Gualtieri: Generalized Kähler manifolds with split tangent bundle. Comm. Math. Phys
2007
Cited alongside, same era.
L. Ugarte: Hermitian structures on six-dimensional nilmanifolds. Transformation Groups
2007
Cited alongside, same era.
D. Grantcharov, G. Grantcharov and Y.S. Poon: Calabi-Yau connections with torsion on toric bundles. J. Differential Geom
2008
Cited alongside, same era.
A. Fino and A. Tomassini: Blow-ups and resolutions of strong Kähler with torsion metrics. Adv. Math
2009
Cited alongside, same era.
A. Fino, A. Tomassini: A survey on strong KT structures. Bull. Math. Soc. Sci. Math. Roumanie
2009
Cited alongside, same era.
A. Fino and A. Tomassini: Non-Kähler solvmanifolds with generalized Kähler structure. J. Symplectic Geom
2009
Cited alongside, same era.
Later among the works it cites.
T.-J. Li and A. Tomassini: Almost Kähler structures on four dimensional unimodular Lie algebras. J. Geom. Phys
2012
Later among the works it cites.
N. Enrietti: Static SKT metrics on Lie groups. Manuscripta Math
2013
Later among the works it cites.
N. Enrietti, A. Fino and G. Grantcharov: Tamed Symplectic forms and Generalized Geometry. J. Geom. Phys
2013
Later among the works it cites.
J. Lauret: Ricci flow of homogeneous manifolds. Math. Z
2013
Later among the works it cites.
J. Streets and G. Tian: Regularity results for pluriclosed flow. Geom. Topol
2013
Later among the works it cites.
L. Vezzoni: A note on canonical Ricci forms on 2-step nilmanifolds. Proc. Amer. Math. Soc
2013
Later among the works it cites.
M. Verbitsky: Rational curves and special metrics on twistor spaces. Geom. Topol
2014
Later among the works it cites.