Riemannian Geometry and G-structures

• Nearly Parallel G₂-structures with Torus Symmetry
  by Giovanni Russo and Andrew Swann
  Math. Z., to appear
  eprint arXiv:math.DG [2508.21703], 18 pp., 2025.
• Cohomological Lifting of Multi-toric Graphs
  by Kael Dixon, Thomas Bruun Madsen and Andrew Swann
  Real and Complex Geometry: In Honour of Paul Gauduchon, ed. L. Ornea, Springer Cham, pp. 127-158, doi 10.1007/978-3-031-92297-8_6, 2025.
• Multi-toric Geometries with Larger Compact Symmetry
  by Thomas Bruun Madsen and Andrew Swann
  Quart. J. Math., 76, 349-365, doi 10.1093/qmath/haaf005, 2025.
• Compatibility of Balanced and SKT Metrics on Two-step Solvable Lie Groups
  by Marco Freibert and Andrew Swann
  Transformation Groups, 30, 235-265, doi 10.1007/s00031-023-09796-2, 2025.
• Special Homogeneous Surfaces
  by David Lindemann and Andrew Swann
  Math. Proc. Camb. Phil. Soc., 177 (2), 333-362, doi 10.1017/S0305004124000252, 2024.
• Toric Geometry of Spin(7)-manifolds
  by Thomas Bruun Madsen and Andrew Swann
  Int. Math. Res. Not. IMRN, 2021 (21), 16511-16529, doi 10.1093/imrn/rnz279, 2021.
  accepted version.
• Two-step Solvable SKT Shears
  by Marco Freibert and Andrew Swann
  Math. Z., 299 (3), 1703–1739, doi 10.1007/s00209-021-02753-3, 2021.
  
• Toric Geometry of G₂-manifolds
  by Thomas Bruun Madsen and Andrew Swann
  Geom. Topol. 23 (7), 3459–3500, doi 10.2140/gt.2019.23.3459, 2019.
• The Shear Construction
  by Marco Freibert and Andrew Swann
  Geom. Dedicata 198 (1), 71–101, doi 10.1007/s10711-018-0330-9, 2019.
• Nearly Kähler Six-manifolds with Two-torus Symmetry
  by Giovanni Russo and Andrew Swann
  J. Geom. Phys. 138, 144–153, doi 10.1016/j.geomphys.2018.12.016, 2019.
• Solvable Groups and a Shear Construction
  by Marco Freibert and Andrew Swann
  J. Geom. Phys. 106, 268–274, doi 10.1016/j.geomphys.2016.04.013, 2016.
• Non-degenerate Homogeneous ε-Kähler and ε-quaternion Kähler Structures of Linear Type
  by Ignacio Luján and Andrew Swann
  Monatsh. Math. 178 (1), 113–142, doi 10.1007/s00605-015-0783-y, 2015.
• The Homogeneous Geometries of Real Hyperbolic Space
  by Marco Castrillón López, Pedro Gadea and Andrew Swann
  Mediterr. J. Math. 10 (2), 1011–1022, 2013.
• Closed Forms and Multi-moment Maps
  by Thomas Bruun Madsen and Andrew Swann
  Geom. Dedicata 165 (1), 25–52, 2013.
• Multi-moment Maps
  by Thomas Bruun Madsen and Andrew Swann
  Adv. Math. 229, 2287–2309, 2012.
• Homogeneous Spaces, Multi-moment Maps and (2,3)-trivial Algebras
  by Thomas Bruun Madsen and Andrew Swann
  Proceedings of the XIXth International Fall Workshop on Geometry and Physics, Porto, September 6–9, 2010, AIP Conference Proceedings, 1360, 51–62, 2011.
• Invariant Strong KT Geometry on Four-dimensional Solvable Lie Groups
  by Thomas Bruun Madsen and Andrew Swann
  J. Lie Theory 21 (1), 055–070, 2011.
• Twisting Hermitian and Hypercomplex Geometries
  by Andrew Swann
  Duke Math. J. 155 (2), 403–431, 2010.
• Homogeneous Structures on Real and Complex Hyperbolic Spaces
  by Marco Castrillón López, Pedro Gadea and Andrew Swann
  Illinois J. Math. 53 (2), 561–574, 2010.
• T is for Twist
  by Andrew Swann
  Proceedings of the XV International Workshop on Geometry and Physics, Puerto de la Cruz, September 11–16, 2006,
  Spanish Royal Mathematical Society 11, 83–94, 2007
• Curvature of Special Almost Hermitian Manifolds
  by Francisco Martín Cabrera and Andrew Swann
  Pacific J. Math. 228 (1), 165–184, 2006.
• G₂-structures with Torsion from Half-integrable Nilmanifolds
  by Simon Chiossi and Andrew Swann
  J. Geom. Phys. 54 (3), 262–285, 2005.
• Einstein Metrics via Intrinsic or Parallel Torsion
  by Richard Cleyton and Andrew Swann
  Math. Z. 247, 513–528, 2004.
• Torsion and the Einstein Equations
  by Richard Cleyton and Andrew Swann
  in `Proceedings of the Workshop on Special Geometric Structures in String Theory Bonn, 8th-11th September, 2001', ed. D. V. Alekseevsky et al., 2002.
• Cohomogeneity-one G<sub>2</sub>-structures
  by Richard Cleyton and Andrew Swann
  J. Geom. Phys. 44 (2-3), 202–220, 2002.
• Weakening Holonomy
  by Andrew Swann
  in `Proceedings of the second Meeting on Quaternionic Structures in Mathematics and Physics, Roma 6–10 September 1999', ed. S. Marchiafava et al., World Scientific, Singapore, 2001, pp. 405–415.
• Classification of G₂-Structures
  by Francisco Martín Cabrera, María Dolores Monar and Andrew Swann
  J. London Math. Soc. 53, 407–416, 1996.
• Isoparametric Geodesic Spheres and a Conjecture of Osserman Concerning the Jacobi Operator
  by Peter Gilkey, Lieven Vanhecke and Andrew Swann
  Quart. J. Math. 46, 299–320, 1995.
• Foliation Reduction and Self-Duality
  by James Glazebrook, Franz Kamber, Henrik Pedersen and Andrew Swann
  Proceedings of `Geometric Study of Foliations', Tokyo, 1993, ed. T. Mizutani et al., World Scientific, Singapore, 1994, pp. 210–249.