Small, Anthony James (1988) A twistorial interpretation of the Weierstrass representation formulae. PhD thesis, University of Warwick.

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Abstract

The theory of minimal surfaces represents an important chapter
in the study of global analysis and remains a testing ground for our
understanding of the non-linear partial differential equations of
geometry. Perhaps its greatest charm lies in its mercurial avoidance
of isolation. Today we see profound applications to such diverse
fields as 3-manifold topology and non-abelian gauge theory, to name
two ; see [En] for a recent survey and extensive bibliography.
(Very recently there have been exciting new applications of the
theory of periodic minimal surfaces in 30 to crystallography, see
[T&A&H&H].) Consequently, the principal aim of this thesis, which is
to establish the groundwork for the investigation of new interactions
between minimal surface theory in V, algebraic geometry and soliton
theory, see §4.F, is very much in the traditional spirit of the
subject.

Item Type:	Thesis or Dissertation (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Minimal surfaces, Weierstrass points, Geometry, Algebraic, Solitons
Official Date:	September 1988
Dates:	Date Event September 1988 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Eells, James, 1926-2007
Sponsors:	University of Warwick. Mathematics Institute ; Science and Engineering Research Council (Great Britain) (SERC)
Extent:	[6], 105 leaves
Language:	eng

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