A twistorial interpretation of the Weierstrass representation formulae
Small, Anthony James, 1958- (1988) A twistorial interpretation of the Weierstrass representation formulae. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1454725~S1
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|
|Institution:||University of Warwick|
|Theses Department:||Mathematics Institute|
|Supervisor(s)/Advisor:||Eells, James, 1926-2007|
|Sponsors:||University of Warwick. Mathematics Institute ; Science and Engineering Research Council (Great Britain) (SERC)|
|Extent:||, 105 leaves|
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