English

Two-dimensional Dirac operator and surface theory

Differential Geometry 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0512543,
  title  = {Two-dimensional Dirac operator and surface theory},
  author = {Iskander A. Taimanov},
  journal= {arXiv preprint arXiv:math/0512543},
  year   = {2007}
}

Comments

82 pages, minor additions