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Address:
Brian Smyth
Department of Mathematics
University of Notre Dame
Notre Dame, Indiana 46556-5683

Phone:
(219) 631-6297 (Office)
(219) 272-4296 (Fax)
(219) 233-7007 (Home)

Email: mailto: Brian.B.Smyth.1@nd.edu
On this page you find some recent papers and preprints.

Research Interests:

Recent Publications and Preprints (in PDF files):

  • ``A New Element in Classical Surface Theory and Caratheodory-Loewner Conjectures", see Cara.pdf

  • ``Non-existence of elliptic sectors in the principal foliations of surface theory", see Elliptic-sectors.pdf

  • "The nature of elliptic sectors in the principal foliations of surface theory", to appear in ``Proceedings of Equadiff 2003 Conference", World Science Publishers. see Elliptic.pdf

  • "Soliton surfaces in the mechanical equilibrium of closed membranes", Comm. Math. Phys. vol 250, p861-94, 2004 see aniso.pdf

  • `` Ricci curvature decay near a real hypersurface singularity", see ricci-curv.pdf

  • `` Eigenvalue estimates and singularities of Hessian fields", with F. Xavier, Bull. London. Math. Soc., vol 33, 2001 page 1-4, see Eigen.pdf

  • ``Real solvability of the equation d^2_z w = pg and the topology of isolated umbilics", with F. Xavier, Journal of Geometric Analysis, vol. 8, No. 4, 1998, pages 655-671. see Umbilic.pdf

    Links to various homepages:

    Smyth Surfaces at U of Mass ,

    Smyth Surfaces at York University, UK ,

    MathSciNet, Mathematical Reviews on the Web ,

    World-wide Mathematics Department Web Servers ,

    Worldwide Mathematics links ,

    Notre Dame Mathematics Department Homepage

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