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Two-dimensional Dirac operator and the theory of surfaces

2006/02/28 by I. A. Taĭmanov, I A Taimanov
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · doi:10.1070/rm2006v061n01abeh004299

crossref issued 2006/02/28 · crossref published 2006/02/28 · crossref published-print 2006/02/28 · openalex publication_date 2006/02/28 · crossref created 2006/06/06 · crossref published-online 2007/10/17 · crossref deposited 2025/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28 · crossref indexed 2026/07/28

Abstract

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

Citations