papers.htlm
Preprints of Latest Work
- Ambitoric geometry I: Einstein metrics and extremal ambikaehler structures (with D.M.J.Calderbank,
P.Gauduchon),
arXiv:1302.6975
- Ambitoric geometry II: Extremal toric surfaces and Einstein 4-orbifolds (with D.M.J.Calderbank,
P.Gauduchon),
arXiv:1302.6979
- A splitting theorem for extremal Kaehler metrics
(with H. Huang),
to appear in The Journal of Geometric Analysis, arXiv:1212.3665
Papers in International Journals
- Extremal Kaehler metrics on projective bundles over a curve, (with
D.M.J.Calderbank,
P.Gauduchon,
C.W.Tonnesen-Friedman),
Adv. Math. 227 (2011), 2385-2424. arXiv:0905.0498
- Bihermitian metrics on Hopf surfaces, (with G. Dloussky)
Math. Res. Lett. 15 (2008), 827-839.
arXiv:0710.2266
- Hamiltonian 2-forms in Kaehler geometry IV: Weakly Bochner-flat Kaehler
manifolds, (with D.M.J.Calderbank,
P.Gauduchon,
C.W.Tonnesen-Friedman),
Comm. Ann. Geom. 16 (2008), 91-126.
math.DG//0511119
- Hamiltonian 2-forms in Kaehler geometry III: Extremal metrics and stability, (with
D.M.J.Calderbank,
P.Gauduchon,
C.W.Tonnesen-Friedman),
Invent. Math. 173 (2008), 547-601.
math.DG/0511118
- Generalized Kaehler manifolds, commuting complex structures, and split tangent bundles,
(with M. Gualtieri),
Comm. Math. Phys. 271 (2007), 561-575. math.DG/0605342
- A remark on Kaehler metrics of constant scalar curvature on ruled complex surfaces,
(with C.W.Tonnesen-Friedman),
Bull. London Math. Soc. 38 (2006), 494-500.
math.DG/0411271
- Hamiltonian 2-forms in Kaehler Geometry I: General Theory,
(with D.M.J.Calderbank and
P.Gauduchon),
J. Differential Geom. 73 (2006), 359-412. math.DG/0202280
- Hamiltonian 2-forms in Kaehler Geometry II: Global Classification,
(with D.M.J.Calderbank,
P.Gauduchon,
C.W.Tonnesen-Friedman),
J. Differential Geom. 68 (2004), 277-345,
math.DG/0401320
- The odd-dimensional Goldberg conjecture,
(with T.Draghici and
A.Moroianu),
Math. Nachr. 279 (2006), 948-952, math.DG/030241
- Kaehler reduction of metrics with holonomy G_2, (with S.Salamon),
Comm. Math. Phys. 246 (2004), 43-61,
math.DG/0303197
- The geometry of weakly selfdual Kaehler surfaces,(with
D.M.J.Calderbank and
P.Gauduchon),
Compositio Math. 135 (2003), 279-322,
math.DG/0104233, authors comments
- Self-dual Einstein Hermitian 4-manifolds, (with P.Gauduchon),
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 1 (2002), 203-243,
[PDF]
- Local models and integrability of certain almost Kaehler 4-manifolds,
(with J. Armstrong and T.Draghici),
Math. Ann. 323 (2002),
633-666, math.DG/0109098
- Local rigidity of certain classes of almost Kaehler 4-manifolds, (with J. Armstrong and T.Draghici),
Ann. Glob. Anal. Geom. 21(2002), 151-176, math.DG/9911197
- A splitting theorem for Kaehler manifolds whose Ricci tensors have constant eigenvalues,
(with T.Draghici and
A.Moroianu),
Int. J. Math. 12 (2001), 769-789,
math.DG0007122
- Bihermitian surfaces with odd first Betti number,
Math. Z.
238 (2001), 555-568,
[PDF]
- Symplectic 4-manifolds with Hermitian Weyl tensor,(with J.Armstrong),
Trans.
Amer. Math. Soc. 352 (2000), 4501-4513,
[PDF ]
- Almost-Kaehler 4-manifolds with J-invariant Ricci
tensor and special Weyl tensor, (with T.Draghici),
Q. J. Math.
51 (2000), 275-294, math.DG/9911196
- Compact Hermitian surfaces and isotropic curvature, (with J.Davidov),
Illinois J. Math. 44(2000), 438-451.
- An integrability theorem for almost Kaehler 4-manifolds, (with T.Draghici
and D.Kotschick),
C. R. Acad. Sci. Paris 329 (1999), 413-418,
[PDF]
- Weakly-Einstein Hermitian surfaces, (with O.Mushkarov),
Ann. Inst. Fourier (Grenoble) 49 (1999), 1673-1692,
[PDF]
- Bihermitian structures on complex surfaces,
(with P.Gauduchon and
G.Grantcharov),
Proc. London Math. Soc. 79 (1999), 414-429,
[PDF], Erratum
- Orthogonal complex structures on certain Riemannian
6-manifolds,
(with G. Grantcharov and S.Ivanov),
Diff. Geom. Appl. 11 (1999) 279-296, [PDF]
- Hermitian conformal classes and almost Kaehler structures on four
manifolds, (with T.Draghici),
Diff. Geom. Appl. 11 (1999) 179-195, [PDF]
- Hermitian structures on twistor spaces, (with G.Grantcharov
and S.Ivanov),
Ann. Glob. Anal. Geom. 16 (1998), 291-308, [PDF]
- Generalized Goldberg-Sachs theorems
for pseudo-Riemannian
four-manifolds,
J. Geom. Phys. 27 (1998), 185-198.
- The Riemannian
Goldberg-Sachs Theorem, (with P.Gauduchon),
Int. J. Math. 8 (1997), 421-439.
- Compact Hermitian surfaces of
constant antiholomorphic sectional curvature, (with G. Ganchev and S.Ivanov),
Proc. Amer. Math. Soc. 125 (1997), 3705-3714.
- Compact self-dual Hermitian surfaces, (with J.Davidov
and O.Mushkarov),
Trans. Amer. Math. Soc. 385 (1996), 3051-3063.
- Compact *-Einstein Hermitian
surfaces of negative type,
C. R. Acad. Sci. Bulgare 48
(1995), 19-22.
Other Publications
- Extremal Kaehler Metrics on Ruled Manifolds and Stability,
(with D.M.J.Calderbank,
P.Gauduchon,
C.W.Tonnesen-Friedman),
in `Géométrie différentielle, physique mathématique, mathématiques et société (II),
Volume en l'honneur de Jean Pierre Bourguignon',
O. Hijazi (éditeur), Astérsique 322 (2008),
[PDF]
- The curvature and the integrability of almost-Kaehler manifolds: A survey, (with T.Draghici),
in `Symplectic and Contact Topology: Interactions and Perspectives', eds. Y. Eliashberg, B. Khesin, F. Lalonde, Fields Institute Communications Series
35 , AMS (2003) pp. 25-49,
math.DG/0302152
- Geometry of Hermitian surfaces, (with J.Davidov, G.Grantcharov
and O.Mushkarov),
in
`Topics in Complex Analysis, Differential Geometry and Mathematical
Physics, Proceedings St. Konstantin, 1996', eds. S. Dimiev and K.
Sekigawa, World Sci. Publishing River Edge, NJ (1997), pp. 94-104.
The papers here (and in math.DG) may differ in minor respects from the published articles.