Twist or theory of immersions of surfaces in four-dimensional spheres and hyperbolic spaces

Let f : S → S(^4) be an immersion of a Riemann surface in the 4-sphere. The thesis begins with a study of the adapted moving frame of / in order to produce conditions for certain naturally defined lifts to SO(5)/U(2) and S0(5)T(^2) to be conformal, harmonic and holomorphic with respect to two differ...

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Bibliographic Details
Main Author: Fawley, Helen Linda
Published: Durham University 1997
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.242661