Preprints, Notes and Ongoing Projects

PS PDF Ambitoric geometry II: Extremal toric surfaces and Einstein 4-orbifolds.
arXiv:1302.6979 (joint with Vestislav Apostolov and Paul Gauduchon), Last modified 2013.

PS PDF Ambitoric geometry I: Einstein metrics and extremal ambikahler structures.
arXiv:1302.6975 (joint with Vestislav Apostolov and Paul Gauduchon), Last modified 2012.

PS PDF Conformal submanifold geometry I-III.
arXiv:1006.5700 (joint with Fran Burstall), Last modified 2010.

PS PDF DVI LaTeX Selfdual 4-manifolds, projective surfaces, and the Dunajski-West construction.
math.DG/0606754, Last modified 2006.

PS PDF Continued fractions and Einstein manifolds of infinite topological type.
math.DG/0508614 (joint with Michael Singer), Last modified 2005.

PS PDF DVI Integrable background geometries.
Last modified 2002.

PS PDF DVI Selfdual Einstein metrics and conformal submersions.
math.DG/0001041, Last modified 2000.

Papers in International Journals

PS PDF DVI Extremal Kahler metrics on projective bundles over a curve.
Preprint (2009) arXiv:0905.0498 (joint with Vestislav Apostolov, Paul Gauduchon and Christina Tonnesen-Friedman).
Reference: Adv. in Math. 227 (2011) 2385-2424. Math Review: MR 2012k:32031.

PS PDF Hamiltonian 2-forms in Kahler geometry IV Weakly Bochner-flat Kahler manifolds.
Preprint (2005) math.DG/0511119 (joint with Vestislav Apostolov, Paul Gauduchon and Christina Tonnesen-Friedman).
Reference: Comm. Anal. Geom. 16 (2008) 91-126. Math Review: MR 2010c:32043.

PS PDF DVI Hamiltonian 2-forms in Kahler geometry III Extremal metrics and stability.
Preprint (2005) math.DG/0511118 (joint with Vestislav Apostolov, Paul Gauduchon and Christina Tonnesen-Friedman).
Reference: Invent. Math. 173 (2008) 547-601. Math Review: MR 2009m:32043.

PS PDF Toric selfdual Einstein metrics on compact orbifolds.
Preprint (2004) math.DG/0405020 (joint with Michael Singer).
Reference: Duke Math. J. 133 (2006) 237-258. Math Review: MR 2007g:53041.

PS PDF Hamiltonian 2-forms in Kahler geometry II Global classification.
Preprint (2004) math.DG/0401320 (joint with Vestislav Apostolov, Paul Gauduchon and Christina Tonnesen-Friedman).
Reference: J. Diff. Geom. 68 (2004) 277-345. Math Review: MR 2006g:53054.

PS PDF DVI Ricci corrected derivatives and invariant differential operators.
Preprint (2003) math.DG/0310311 (joint with Tammo Diemer and Vladimir Soucek).
Reference: Diff. Geom. Appl. 23 (2005) 149-175. Math Review: MR 2006j:53073.

PS PDF DVI LaTeX Toric self-dual Einstein metrics as quotients .
Preprint (2003) math.DG/0311145 (joint with Charles P. Boyer, Kris Galicki and Paolo Piccinni ).
Reference: Commun. Math. Phys. 253 (2005) 337-370. Math Review: MR 2005m:53062.

PS PDF DVI LaTeX The Guillemin formula and Kahler metrics on toric symplectic manifolds .
Preprint (2003) math.DG/0310243 (joint with Liana David and Paul Gauduchon).
Reference: J. Symplectic Geom. 1 (2003) 767-784. Math Review: MR 2005a:53145.

PS PDF DVI LaTeX Hamiltonian 2-forms in Kahler geometry I General theory.
Preprint (2002) math.DG/0202280 (joint with Vestislav Apostolov and Paul Gauduchon).
Reference: J. Diff. Geom. 73 (2006) 359-412. Math Review: MR 2007b:53149.

PS PDF Einstein metrics and complex singularities.
Preprint (2002) math.DG/0206229 (joint with Michael Singer).
Reference: Invent. Math. 156 (2004) 405-443. Math Review: MR 2005h:53064.

PS PDF DVI LaTeX The geometry of weakly selfdual Kahler surfaces.
Preprint (2001) math.DG/0104233 (joint with Vestislav Apostolov and Paul Gauduchon).
Reference: Compositio Math. 135 (2003) 279-322. Math Review: MR 2004f:53045.

PS PDF Selfdual Einstein metrics with torus symmetry.
Preprint (2000) math.DG/0105263 (joint with Henrik Pedersen).
Reference: J. Diff. Geom. 60 (2002) 485-521. Math Review: MR 2003m:53065.

PS PDF DVI LaTeX Scalar-flat Lorentzian Einstein-Weyl spaces.
Preprint (2000) math.DG/0104208 (joint with Maciej Dunajski).
Reference: Class. Quantum Grav. 18 (2001) L77-L80. Math Review: MR 2002g:53120.

PS PDF DVI LaTeX Differential invariants and curved Bernstein-Gelfand-Gelfand sequences.
Preprint (1999) math.DG/0001158 (joint with Tammo Diemer).
Reference: J. reine angew. Math. 537 (2001) 67-103. Math Review: MR 2002k:58048.

PS PDF DVI LaTeX Two dimensional Einstein-Weyl structures.
Preprint (1999) math.DG/0001150
Reference: Glasgow Math. J. 43 (2001) 419-424. Math Review: MR 2002m:53067.

PS PDF DVI LaTeX The geometry of the Toda equation.
Preprint (1999) math.DG/9908164
Reference: J. Geom. Phys. 36 (2000) 152-162. Math Review: MR 2001m:53083.

PS PDF Refined Kato inequalities and conformal weights in Riemannian geometry.
Preprint (1999) math.DG/9909116 (joint with Paul Gauduchon and Marc Herzlich).
Reference: J. Funct. Anal. 173 (2000) 214-255. Math Review: MR 2001f:58046.

PS PDF DVI Einstein metrics, hypercomplex structures and the Toda field equation.
Preprint (1998) math.DG/9911121 (joint with Paul Tod).
Reference: Diff. Geom. Appl. 14 (2001) 199-208. Math Review: MR 2002b:53012.

PS PDF Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics.
Preprint (1998) math.DG/9911117 (joint with Henrik Pedersen).
Reference: Ann. Inst. Fourier 50 (2000) 921-963. Math Review: MR 2001h:53058.

PS PDF DVI LaTeX The Faraday 2-form in Einstein-Weyl geometry.
Preprint (1998).
Reference: Math. Scand. 89 (2001) 97-116. Math Review: MR 2003c:53055.

PS PDF DVI LaTeX Moebius structures and two dimensional Einstein-Weyl geometry.
Preprint (1997).
Reference: J. reine angew. Math. 504 (1998) 37-53. Math Review: MR 99j:53062.

These papers are ordered by approximate completion date (i.e., when the paper was first in complete, though not necessarily final, form): the year of completion is in brackets after "Preprint". To view the papers organised by project, visit here.

Other Publications

PS PDF Extremal Kahler metrics on ruled manifolds and stability.
Preprint (2007) (joint with Vestislav Apostolov, Paul Gauduchon and Christina Tonnesen-Friedman),
in "Geometrie differentielle, physique mathematique, mathematiques et societe, II", Asterisque 322 (2008), 93-150. MR 2010h:32029.

PS PDF Submanifold geometry in generalized flag varieties (joint with Fran Burstall),
in "Proceedings of Winter School in Geometry and Physics, Srni 2003" (J. Slovak and M. Cadek, eds.),
Rend. del Circ. mat. di Palermo 72 (2004) 13-41. Math Review: MR 2005j:53057.

PS PDF Applications of curved Bernstein-Gelfand-Gelfand sequences,
in "Global Analysis and Harmonic Analysis" (J.P. Bourguignon, T. Branson, and O. Hijazi, eds.),
Seminaires et Congres 4 (2000) 115-127. Math Review: MR 2002c:53087.

PS PDF On the Kato inequality in Riemannian geometry (joint with Paul Gauduchon and Marc Herzlich),
in "Global Analysis and Harmonic Analysis" (J.P. Bourguignon, T. Branson, and O. Hijazi, eds.),
Seminaires et Congres 4 (2000) 95-113. Math Review: MR 2002c:58031.

PS PDF DVI Einstein-Weyl Geometry (joint with Henrik Pedersen),
in "Essays on Einstein Manifolds" (C.R. LeBrun and M. Wang, eds.),
International Press (1999). Math Review: MR 2002b:53062.

My PhD Thesis

My PhD Thesis is available here in PostScript or PDF.

Thesis of Tammo Diemer

I collaborated closely with Tammo Diemer during the period 1994-1999 on Dirac operators, conformal geometry, linear field theories and invariant differential operators. In addition to our joint papers (see above), his thesis is here: PS PDF DVI LaTeX.

All papers are provided in PDF and gzipped PostScript: use gunzip if your browser does not handle the latter automatically. Where convenient, gzipped DVI and LaTeX source are also available; otherwise, if the paper is on math.DG, these formats can be found there.

The papers here (and in math.DG) may differ in minor respects from the published articles. Links to the publishers are provided where possible.

Math Reviews - Math Reviewer

If you spot any broken links, please let me know by email: D.M.J.Calderbank@bath.ac.uk