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Durham University

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Staff Profile

Dr John Bolton

Contact Dr John Bolton (email at john.bolton@durham.ac.uk)

Research Interests

  • Differential geometry

Publications

Authored book

  • Woodward, L.M. & Bolton, J. (2018). A First Course in Differential Geometry. Cambridge University Press.

Chapter in book

  • Bolton J & Woodward, L.M. (1997). Some geometrical aspects of the 2-dimensional Toda equations. In Geometry, Topology and Physics. Apanasov, Boris N. Bradlow, Steven B. Rodrigues, Waldyr A. & Uhlenbeck, Karen K. Walter de Gruyter. 69-81.
  • Bolton J & L.M. Woodward (1996). Minimal surfaces and the Toda equations for the classical groups. In Geometry and topology of submanifolds. VIII. Dillen, F., Komrakov, G., Simon, U., Van de Woestijne, I. & Verstraelen, L. Singapore: World Scientific. 22-30.
  • Bolton, J. & Woodward, L.M. (1995). On harmonic 2-spheres in Geometry and Topology of Submanifolds VII. In Geometry and Topology of Submanifolds, VII. Dillen, F., Magid, Simon, U., Van de Woestijne, I. & Verstraelen, L. London: World Scientific Publishing Company. 7: 88-91.
  • Bolton, J. & Woodward, L.M. (1994). The affine Toda equations and minimal surfaces. In Harmonic maps and integrable systems. Fordy, A.P. & Wood, J.C. Vieweg+Teubner Verlag. 59-82.

Journal Article

  • Bolton, John. & Vrancken, Luc. (2009). Transforms for minimal surfaces in the 5-sphere. Differential Geometry and its Applications 27(1): 34-46
  • Bolton, John. & Vrancken, Luc. (2006). Lagrangian submanifolds attaining equality in the improved Chen's inequality. Bulletin of the Belgian Mathematical Society - Simon Stevin 13.
  • Bolton, John. & Woodward, L.M. (2006). The space of harmonic two-spheres in the unit four-sphere. Tohoku Mathematical Journal 58(2): 231-236.
  • Bolton, J. & Vrancken, L. (2005). Ruled minimal Lagrangian submanifolds of complex projective 3-space. Asian Journal of Mathematics 9(1): 45-55.
  • Bolton, John. & Woodward, L. M. (2003). Toda equations and Plücker formulae. Bulletin of the London Mathematical Society 35(2): 145-151.
  • J Bolton, C Scharlach & L Vrancken (2002). 'From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space'. Bulletin of the Australian Mathematical Society 66: 465-475.
  • Bolton, J., Scharlach, C., Vrancken, L. & Woodward, L.M. (2001). From certain Lagrangian minimal submanifolds of the 3-dimensional complex projective space to minimal surfaces in the 5-sphere.
  • Bolton, John. & Woodward, LM. (2001). Linearly full harmonic 2-spheres in S^4 of area 20\pi. International Journal of Mathematics 12(5): 535-554.
  • Bolton, J. & Woodward, L.M. (2000). Higher Singularities and the Twistor Fibration π CP3 → S4. Geometriae Dedicata 80(1-3): 231-246.
  • Bolton, J. & Woodward, L.M. (1997). Special submanifolds of with its -geometry.
  • Bolton, J., Vrancken, L. & Woodward, L.M. (1997). Totally real minimal surfaces with non-circular ellipse of curvature in the nearly Kähler S6. Journal of the London Mathematical Society 56(3): 625-644.
  • Bolton, J., Berndt, J. & Woodward, L.M. (1995). Almost complex curves and Hopf hypersurfaces in the nearly Kähler 6-sphere. Geometriae Dedicata 56(3): 237-247.
  • Bolton, J., Pedit, F. & Woodward, L.M. (1995). Minimal surfaces and the affine Toda field model. Journal für die reine und angewandte mathematik 1995(459): 119-150.
  • Bolton, J., Vrancken, L. & Woodward, L.M. (1994). On almost complex curves in the nearly Kähler 6-sphere. Quarterly journal of mathematics 45(4): 407-427.
  • Bolton, J. & Woodward, L.M. et al (1994). Teaching Large Classes of Mixed Ability.

Conference Paper

  • Bolton, J. (1994), The Affine Toda Equations in the Geometry of Surfaces, in Kotake, Takeshi, Nishikawa, Seiki & Schoen, Richard M. eds, First MSJ International Research Institute. Sendai, Japan, Tohoku University Mathematical Institute, Sendai, 175-189.
  • Bolton, J. & Woodward, L.M. (1994), The space of harmonic maps of into, in Kotake, Takeshi, Nishikawa, Seiki & Schoen, Richard M. eds, First MSJ International Research Institute. Sendai, Japan, Tohoku University Mathematical Institute, Sendai, 165-173.

Conference Proceeding

  • Bolton, J. (2002). The Toda equations and equiharmonic maps of surfaces into flag manifolds. To appear in Proceedings of MSJ - IRI conference on Integrable systems and Differential Geometry.