Two-dimensional Dirac operator and surface theory

Details Two-dimensional Dirac operator and surface theory Two-dimensional Dirac operator and surface theory

2005-12-23

arxiv.org/abs/math/0512543v2

Russian Mathematical Surveys 61:1 (2006), 79-159

Mathematics

Differential Geometry

82 pages, minor additions

Scientific paper

We give a survey on the Weierstrass representations of surfaces in three- and
four-dimensional spaces, their applications to the theory of the Willmore
functional and on related problems of spectral theory of the two-dimensional
Dirac operator with periodic coefficients.

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