Publications and Preprints - David Brander

Preprints

  1. Deformations of constant mean curvature surfaces preserving symmetries and the Hopf differential.
    (With Josef Dorfmeister.)    arXiv:1302.2228 [math.DG]
  2. Constant Gaussian curvature surfaces in the 3-sphere via loop groups.
    (With J Inoguchi and S-P Kobayashi.)    arXiv:1301.5999[math.DG]

Journal Articles
[Preprints can be found at http://arxiv.org/find]

  1. Timelike constant mean curvature surfaces with singularities.
    (With M Svensson.)
    J. Geom. Anal. , (2013),   DOI 10.1007/s12220-013-9389-6
  2. The geometric Cauchy problem for surfaces with Lorentzian harmonic Gauss maps.
    (With M Svensson.)
    J. Differential Geom. 93, (2013), 37-66.             Related software.
  3. Singularities of spacelike constant mean curvature surfaces in Lorentz-Minkowski space.
    Math. Proc. Cambridge Philos. Soc. 150, (2011), 527-556.   
  4. The Björling problem for non-minimal constant mean curvature surfaces.
    (With Josef Dorfmeister.)
    Comm. Anal. Geom. 18 (2010) 171-194.
  5. Loop group decompositions in almost split real forms and applications to soliton theory and geometry.
    J. Geom. Phys. 58 (2008) 1792-1800.
  6. Holomorphic representation of constant mean curvature surfaces in Minkowski space: consequences of non-compactness in loop group methods.
    (With W Rossman and N Schmitt.)
    Adv. Math. 223 (2010) 949-986. doi:10.1016/j.aim.2009.09.006.
  7. Results related to generalizations of Hilbert's non-immersibility theorem for the hyperbolic plane.
    Electron. Res. Announc. Math. Sci. 15 (2008), 8-16.
  8. Grassmann geometries in infinite dimensional homogeneous spaces and an application to reflective submanifolds.
    Int. Math. Res. Not. IMRN 2007: rnm092-38.
  9. A loop group formulation for constant curvature submanifolds of pseudo-Euclidean space.
    (With W Rossman.)
    Taiwanese J. Math. Vol. 12, No. 7, (2008) pp 1739-1749.
  10. Curved flats, pluriharmonic maps and constant curvature immersions into pseudo-Riemannian space forms.
    Ann. Global Anal. Geom. 32 (2007), 253-275.
  11. Generalized DPW method and an application to isometric immersions of space forms.
    (With Josef Dorfmeister.)
    Math. Z. 262 (2009), 143-172.
  12. K-symmetric AKS systems and flat immersions in spheres.
    J. London. Math. Soc. (2) 77 (2008), 299-319.

Conference Proceedings Articles

  1. Geometric Cauchy problems for spacelike and timelike CMC surfaces in R^(2,1).
    RIMS Kokyuroku, No. 1775 (2012), 85--93.
  2. Constant mean curvature surfaces in Euclidean and Minkowski 3-spaces.
    J. Geom. Symmetry Phys. 12 (2008) 15-26.
  3. Grassmann geometries and integrable systems.
    RIMS Kokyuroku, No. 1577 (2008), 64--74. arXiv:0804.1830 [math.DG]
  4. An application of a 3-involution loop group to reflective submanifolds.
    Mathematisches Forschungsinstitut Oberwolfach, Report No. 24/2007, 1334--1337.
  5. Finite type isometric immersions of constant curvature submanifolds.
    Integrable systems, geometry and visualization, Kyushu, 2004.

Dissertations

  1. Flat submanifolds of a sphere and integrable systems.
    Australian National University , Ph.D.
  2. Isometric embeddings between space forms.
    University of Pennsylvania , M.Phil.
  3. The Atiyah-Singer Index Formula for Elliptic Operators.
    University of Oxford , M.Sc.

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