Research output

All papers are provided in PDF and gzipped PostScript. Where convenient, gzipped DVI and LaTeX source are also available; otherwise, if the paper is on the arXiv, these formats can be found there.

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

The year in the first column is the approximate completion date (i.e., when the paper was first in complete, though not necessarily final, form - significant revisions are noted after the title). To sort the papers by another column, click the header (requires JavaScript). The last column gives the project area (Integrability, Parabolics, Einstein metrics, Kähler geometry, Miscellaneous).

Download Title Co-authors Publication Ref ArXiv Review PA
2021 PDF PS DVI LaTeX Hydrodynamic integrability via geometry Preprint 2109.02727 I
2020 PDF PS DVI LaTeX Weighted K-stability of polarized varieties and extremality of Sasaki manifolds Vestislav Apostolov Eveline Legendre Adv. in Math. 2021: 391 107969 2012.08628 K
2018 PDF PS DVI LaTeX The CR geometry of weighted extremal Kahler and Sasaki metrics Vestislav Apostolov Math. Ann. 2021: 379 1047-1088 1810.10618 K
2018 PDF PS DVI LaTeX Subriemannian metrics and the metrizability of parabolic geometries Jan Slovak
Vladimir Soucek 		J. Geom. Anal. 2021: 31 1671-1702 1803.10482 P
2018 PDF PS The Kahler geometry of Bott manifolds Charles P. Boyer
Christina
Tonnesen-Friedman 		Adv. in Math. 2019: 350
1-62 		1801.09641 2021:3945589 K
2017 PDF PS DVI LaTeX Levi-Kahler reduction of CR structures, products of spheres, and toric geometry Vestislav Apostolov
Paul Gauduchon
Eveline Legendre 		Math. Res. Lett. 2020: 27 1565-1629 1708.05253 K
2017 PDF PS DVI LaTeX Toric contact geometry in arbitrary codimension Vestislav Apostolov
Paul Gauduchon
Eveline Legendre 		Int. Math. Res. Notices 2020: 2020
2436-2467 		1708.04942 2021:4090745 KM
2016 PDF PS DVI LaTeX Integrability via geometry: dispersionless differential equations in three and four dimensions (Revised 2018) Boris Kruglikov Comm. Math. Phys. 2021:382 1811-1841 1612.02753 2021:4232780 I
2016 PDF PS DVI LaTeX Parabolic subalgebras, parabolic buildings, and parabolic projection Passawan Noppakaew Preprint 1607.00370 P
2015 PDF PS DVI LaTeX Projective geometry and the quaternionic Feix-Kaledin construction (Revised 2018) Aleksandra Borowka Trans. Amer. Math. Soc. 2019: 372
4729-4760 		1512.07625 2020:4009396 IP
2015 PDF PS DVI LaTeX C-projective geometry Mike Eastwood
Vladimir Matveev
Katharina Neusser 		Mem. Amer. Math. Soc. 2020: 267 1299 1512.04516 PK
2015 PDF PS DVI LaTeX Curvature and the c-projective mobility of Kahler metrics with hamiltonian 2-forms Vladimir Matveev
Stefan Rosemann 		Compositio Math. 2016: 152
1555-1575 		1501.04841 2017:3542486 PK
2013 PDF PS Ambitoric geometry II: Extremal toric surfaces and Einstein 4-orbifolds Vestislav Apostolov
Paul Gauduchon 		Ann. sci. Ec. Norm. Super. 2015: 48
1075-1112 		1302.6979 2016:3429476 KE
2012 PDF PS Ambitoric geometry I: Einstein metrics and extremal ambikahler structures Vestislav Apostolov
Paul Gauduchon 		J. reine angew. Math. 2016: 721
109-147 		1302.6975 2017:3574879 KE
2010 PDF PS Conformal submanifold geometry I-III Fran Burstall Preprint 1006.5700 PI
2009 PDF PS DVI Extremal Kahler metrics on projective bundles over a curve Vestislav Apostolov
Paul Gauduchon
Christina
Tonnesen-Friedman 		Adv. in Math. 2011: 227
2385-2424 		0905.0498 2012k:32031 K
2007 PDF PS Extremal Kahler metrics on ruled manifolds and stability Vestislav Apostolov
Paul Gauduchon
Christina
Tonnesen-Friedman 		Asterisque 2008: 322
93-150 		2010h:32029 K
2006 PDF PS DVI Selfdual 4-manifolds, projective surfaces, and the Dunajski-West construction SIGMA 2014: 10
035, 18 pp 		0606754 2014:3210600 I
2005 PDF PS Hamiltonian 2-forms in Kahler geometry IV: Weakly Bochner-flat Kahler manifolds Vestislav Apostolov
Paul Gauduchon
Christina
Tonnesen-Friedman 		Comm. Anal. Geom. 2008: 16
91-126 		0511119 2010c:32043 K
2005 PDF PS DVI Hamiltonian 2-forms in Kahler geometry III: Extremal metrics and stability Vestislav Apostolov
Paul Gauduchon
Christina
Tonnesen-Friedman 		Invent. Math. 2008: 173
547-601 		0511118 2009m:32043 K
2005 PDF PS Continued fractions and Einstein manifolds of infinite topological type Michael Singer Preprint 0508614 E
2004 PDF PS Toric selfdual Einstein metrics on compact orbifolds Michael Singer Duke Math. J. 2006: 133
237-258 		0405020 2007g:53041 E
2004 PDF PS Hamiltonian 2-forms in Kahler geometry II: Global classification Vestislav Apostolov
Paul Gauduchon
Christina
Tonnesen-Friedman 		J. Diff. Geom. 2004: 68
277-345 		0401320 2006g:53054 K
2003 PDF PS Submanifold geometry in generalized flag varieties Fran Burstall "Winter School in Geometry and Physics, Srni 2003"
Rend. Circ. mat. Palermo 		2004: 72
13-41 		2005j:53057 P
2003 PDF PS DVI Ricci corrected derivatives and invariant differential operators Tammo Diemer
Vladimir Soucek 		Diff. Geom. Appl. 2005: 23
149-175 		0310311 2006j:53073 P
2003 PDF PS DVI LaTeX Toric self-dual Einstein metrics as quotients Charles P. Boyer
Kris Galicki
Paolo Piccinni 		Comm. Math. Phys. 2005: 253 337-370 0311145 2005m:53062 E
2003 PDF PS DVI LaTeX The Guillemin formula and Kahler metrics on toric symplectic manifolds Liana David
Paul Gauduchon 		J. Symplectic Geom. 2003: 1
767-784 		0310243 2005a:53145 K
2002 PDF PS DVI LaTeX Hamiltonian 2-forms in Kahler geometry I: General theory Vestislav Apostolov
Paul Gauduchon 		J. Diff. Geom. 2006: 73
359-412 		0202280 2007b:53149 K
2002 PDF PS DVI Integrable background geometries (Revised 2014) SIGMA 2014: 10
034, 51 pp 		1403.3471 2014:3210601 I
2002 PDF PS Einstein metrics and complex singularities Michael Singer Invent. Math. 2004: 156
405-443 		0206229 2005h:53064 E
2001 PDF PS DVI LaTeX The geometry of weakly selfdual Kahler surfaces Vestislav Apostolov
Paul Gauduchon 		Compositio Math. 2003: 135
279-322 		0104233 2004f:53045 K
2000 PDF PS Selfdual Einstein metrics with torus symmetry Henrik Pedersen J. Diff. Geom. 2002: 60
485-521 		0105263 2003m:53065 EI
2000 PDF PS DVI Selfdual Einstein metrics and conformal submersions Preprint 0001041 EI
2000 PDF PS DVI LaTeX Scalar-flat Lorentzian Einstein-Weyl spaces Maciej Dunajski Class. Quantum Grav. 2001: 18
L77-L80 		0104208 2002g:53120 I
1999 PDF PS DVI LaTeX Differential invariants and curved Bernstein-Gelfand-Gelfand sequences Tammo Diemer J. reine angew. Math. 2001: 537
67-103 		0001158 2002k:58048 P
1999 PDF PS DVI LaTeX Two dimensional Einstein-Weyl structures Glasgow Math. J. 2001: 43
419-424 		0001150 2002m:53067 P
1999 PDF PS DVI LaTeX The geometry of the Toda equation J. Geom. Phys. 2000: 36
152-162 		9908164 2001m:53083 I
1999 PDF PS Refined Kato inequalities and conformal weights in Riemannian geometry Paul Gauduchon
Marc Herzlich 		J. Funct. Anal. 2000: 173
214-255 		9909116 2001f:58046 M
1999 PDF PS On the Kato inequality in Riemannian geometry Paul Gauduchon
Marc Herzlich 		"Global Analysis and Harmonic Analysis"
Seminaires et Congres		 2000: 4
95-113 		2002c:58031 M
1999 PDF PS Applications of curved Bernstein-Gelfand-Gelfand sequences "Global Analysis and Harmonic Analysis"
Seminaires et Congres 		2000: 4
115-127 		2002c:53087 P
1998 PDF PS DVI Einstein metrics, hypercomplex structures and the Toda field equation Paul Tod Diff. Geom. Appl. 2001: 14
199-208 		9911121 2002b:53012 IE
1998 PDF PS Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics Henrik Pedersen Ann. Inst. Fourier 2000: 50
921-963 		9911117 2001h:53058 I
1998 PDF PS DVI LaTeX The Faraday 2-form in Einstein-Weyl geometry Math. Scand. 2001: 89
97-116 		2003c:53055 I
1997 PDF PS DVI LaTeX Moebius structures and two dimensional Einstein-Weyl geometry J. reine angew. Math. 1998: 504
37-53 		1999j:53062 P
1997 PDF PS DVI Einstein-Weyl geometry Henrik Pedersen "Essays on Einstein Manifolds"
Suppl. J. Diff. Geom. 		1999: VI 2002b:53062 I
1995 PDF PS Geometrical Aspects of Spinor and Twistor Analysis PhD Thesis
University of Warwick 		1996 IM

Math Reviews

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: PDF PS DVI LaTeX.

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