David Calderbank

Search results

• 2021

  Integrability via geometry: Dispersionless differential equations in three and four dimensions

  Calderbank, D. M. J. & Kruglikov, B., 1 Mar 2021, In: Communications in Mathematical Physics. 382, 3, p. 1811-1841 31 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Differential Equation 100%
  • Lax Pair 100%
  • Partial Differential Equation 66%
  • Hypersurfaces 33%
  • Main Result 33%
  11 Citations (SciVal)

• Subriemannian metrics and the metrizability of parabolic geometries

  Calderbank, D. M. J., Slovak, J. & Soucek, V., 1 Feb 2021, In: Journal of Geometric Analysis. 31, 2, p. 1671–1702 32 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Parabolic 100%
  • Metrizability 100%
  • Projective Geometry 33%
  • Irreducibles 33%
  • Geometric Control Theory 33%
  1 Citation (SciVal)

  81 Downloads (Pure)

• The CR geometry of weighted extremal Kähler and Sasaki metrics

  Apostolov, V. & Calderbank, D. M. J., 1 Apr 2021, In: Mathematische Annalen. 379, 3-4, p. 1047–1088 42 p.

  Research output: Contribution to journal › Article

  Open Access

  File

  • Extremal 100%
  • Projective 25%
  • 4-Manifold 25%
  • CR Structure 25%
  • Vector Field 12%
  10 Citations (SciVal)

  91 Downloads (Pure)
• 2020

  C-projective geometry

  Calderbank, D. M. J., Eastwood, M. G., Matveev, V. S. & Neusser, K., 31 Dec 2020, In: Memoirs of American Mathematical Society. 267, 1299, p. 1-150 150 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Projective Geometry 100%
  • Projective 100%
  • Manifold 75%
  • Parabolic 25%
  • Projective Space 25%
  10 Citations (SciVal)

  101 Downloads (Pure)

• Levi-Kahler reduction of CR structures, products of spheres, and toric geometry

  Apostolov, V., Calderbank, D. M. J., Gauduchon, P. & Legendre, E., 2020, In: Mathematical Research Letters. 27, 6, p. 1565-1629 39 p.

  Research output: Contribution to journal › Article

  File

  • CR Structure 100%
  • Extremal 50%
  • Codimension 50%
  • CR Manifold 50%
  31 Downloads (Pure)

• Toric contact geometry in arbitrary codimension

  Apostolov, V., Calderbank, D. M. J., Gauduchon, P. & Legendre, E., 30 Apr 2020, In: International Mathematics Research Notices. 2020, 8, p. 2436-2467 22 p., my021.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Codimension 100%
  • Polytope 100%
  • Contact Geometry 100%
  • Manifold 50%
  • Symplectic Manifold 50%
  3 Citations (SciVal)
• 2019

  Projective geometry and the quaternionic Feix-Kaledin construction

  Borowka, A. & Calderbank, D. M. J., 1 Oct 2019, In: Transactions of the American Mathematical Society. 372, 7, p. 4729-4760 32 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Projective Geometry 100%
  • Manifold 100%
  • Circle Action 100%
  • Coincides 33%
  • Riemann Surface 33%
  6 Citations (SciVal)

  84 Downloads (Pure)

• The Kähler geometry of Bott manifolds

  Boyer, C. P., Calderbank, D. M. J. & Tønnesen-Friedman, C. W., 9 Jul 2019, In: Advances in Mathematics. 350, p. 1-62 62 p.

  Research output: Contribution to journal › Article

  • Manifold 100%
  • Projective Geometry 20%
  • Extremal 20%
  • Scalar Curvature 20%
  • Complex Geometry 20%
  11 Citations (SciVal)
• 2017

  Curvature and the c-projective mobility of Kaehler metrics with hamiltonian 2-forms

  Calderbank, D. M. J., Matveev, V. S. & Rosemann, S., 1 Aug 2017, In: Compositio Mathematica. 152, 8, p. 1555-1575

  Research output: Contribution to journal › Article › peer-review

  • Projective 100%
  • Nullity 100%
  • Necessary Condition 50%
  • Holonomy 50%
  6 Citations (SciVal)
• 2016

  Ambitoric geometry I: Einstein metrics and extremal ambikahler structures

  Apostolov, V., Calderbank, D. & Gauduchon, P., 1 Dec 2016, In: Journal Fur Die Reine Und Angewandte Mathematik. 2016, 721, p. 109-147 39 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Extremal 100%
  • Polynomial 20%
  • Main Result 20%
  • Tensor 20%
  • Local Geometry 20%
  33 Citations (SciVal)

  63 Downloads (Pure)

• Parabolic subalgebras, parabolic buildings and parabolic projection

  Calderbank, D. M. J. & Noppakaew, P., 1 Jul 2016, In: ArXiv e-prints. 26 p.

  Research output: Contribution to journal › Article

  File

  • Parabolic 100%
  • Subalgebra 100%
  • Lie Algebra 33%
  • Reductive 33%
  • Structure Theory 22%
  17 Downloads (Pure)
• 2015

  Ambitoric geometry II: extremal toric surfaces and Einstein 4-orbifolds

  Apostolov, V., Calderbank, D. M. J. & Gauduchon, P., 31 Dec 2015, In: Annales Scientifiques de l'École Normale Supérieure . 48, 5, p. 1075–1112 38 p.

  Research output: Contribution to journal › Article › peer-review

  • Extremal 100%
  • Betti Number 16%
  • Open Subset 16%
  • Polytope 16%
  19 Citations (SciVal)
• 2014

  Integrable background geometries

  Calderbank, D. M. J., 28 Mar 2014, In: SIGMA: Symmetry, Integrability and Geometry: Methods and Applications. 10, 34.

  Research output: Contribution to journal › Article › peer-review

  • One Dimension 100%
  • Conformal Geometry 100%
  • Dimensional Geometry 100%
  • Gauge Theory 100%
  • Differential Equation 50%
  28 Citations (SciVal)

• Selfdual 4-manifolds, projective surfaces, and the Dunajski-west construction?

  Calderbank, D. M. J., 28 Mar 2014, In: SIGMA: Symmetry, Integrability and Geometry: Methods and Applications. 10

  Research output: Contribution to journal › Article › peer-review

  • Projective 100%
  • 4-Manifold 100%
  • Vector Field 50%
  • Null 50%
  • Gauge Group 50%
  12 Citations (SciVal)
• 2011

  Extremal Kähler metrics on projective bundles over a curve

  Apostolov, V., Calderbank, D. M. J., Gauduchon, P. & Tonnesen-Friedman, C. W., 20 Aug 2011, In: Advances in Mathematics. 227, 6, p. 2385-2424 40 p.

  Research output: Contribution to journal › Article › peer-review

  • Manifold 100%
  • Projective 100%
  • Extremal 100%
  • Scalar Curvature 66%
  • Necessary and Sufficient Condition 33%
  40 Citations (SciVal)
• 2008

  Extremal Kähler metrics on ruled manifolds and stability

  Apostolov, V., Calderbank, D. M. J., Gauduchon, P. & Tonnesen-Friedman, C. W., Dec 2008, In: Asterisque. 322, p. 93-150 58 p.

  Research output: Contribution to journal › Article › peer-review

  • Manifold 100%
  • Extremal 100%
  • Additional Result 50%
  12 Citations (SciVal)

• Hamiltonian 2-forms in Kähler geometry, III Extremal metrics and stability

  Apostolov, V., Calderbank, D. M. J., Gauduchon, P. & Tonnesen-Friedman, C. W., Sept 2008, In: Inventiones Mathematicae. 173, 3, p. 547-601 55 p.

  Research output: Contribution to journal › Article › peer-review

  • Projective 100%
  • Extremal 100%
  • Nonexistence 25%
  • Total Space 25%
  • Ruled Surface 25%
  90 Citations (SciVal)

• Hamiltonian 2-forms in Kähler geometry, IV weakly Bochner-flat Kähler manifolds

  Apostolov, V., Calderbank, D. M. J., Gauduchon, P. & Tonnesen-Friedman, C. W., Jan 2008, In: Communications in Analysis & Geometry. 16, 1, p. 91-126 36 p.

  Research output: Contribution to journal › Article › peer-review

  • Manifold 100%
  • Bochner 100%
  • Tensor 14%
  • Projective 14%
  • Extremal 14%
  28 Citations (SciVal)
• 2006

  Toric self-dual Einstein metrics on compact orbifolds

  Calderbank, D. M. J. & Singer, M. A., Jun 2006, In: Duke Mathematical Journal. 133, p. 237--258 22 p.

  Research output: Contribution to journal › Article › peer-review

  11 Citations (SciVal)
• 2004

  Einstein metrics and complex singularities

  Calderbank, D. M. J. & Singer, M. A., May 2004, In: Inventiones Mathematicae. 156, p. 405--443 39 p.

  Research output: Contribution to journal › Article › peer-review

  59 Citations (SciVal)

• Hamiltonian 2-forms in Kähler geometry, II Global Classification

  Calderbank, D. M. J., Apostolov, V., Gauduchon, P. & Tønneson-Friedman, C. W., Oct 2004, In: Journal of Differential Geometry. 68, p. 277--345 69 p.

  Research output: Contribution to journal › Article › peer-review

  87 Citations (SciVal)
• 2003

  The geometry of weakly self-dual Kähler surfaces

  Calderbank, D. M. J., Apostolov, V. & Gauduchon, P., Feb 2003, In: Compositio Mathematica. 135, p. 279--322 44 p.

  Research output: Contribution to journal › Article › peer-review

  61 Citations (SciVal)
• 2002

  Selfdual Einstein metrics with torus symmetry

  Calderbank, D. M. J. & Pedersen, H., Mar 2002, In: Journal of Differential Geometry. 60, p. 485--521 37 p.

  Research output: Contribution to journal › Article › peer-review

  50 Citations (SciVal)
• 2001

  Differential invariants and curved Bernstein-Gelfand-Gelfand invariants

  Calderbank, D. M. J. & Diemer, T., Aug 2001, In: Journal für die reine und angewandte Mathematik (Crelles Journal). 537, p. 67--103 37 p.

  Research output: Contribution to journal › Article › peer-review