Surfaces in three-dimensional Lie groups in terms of spinors
I.A. Taimanov
TL;DR
This survey explores the use of spinor representations to study surfaces within noncommutative three-dimensional Lie groups, linking geometric analysis with integrable systems.
Contribution
It compiles and discusses recent results on surfaces in noncommutative Lie groups using the Weierstrass (spinor) representation, highlighting its applications.
Findings
Survey of recent results on surfaces in noncommutative Lie groups
Application of spinor representation in geometric analysis
Connections to integrable systems
Abstract
This is a survey of results on surfaces in noncommutative three-dimensional Lie groups obtained by using the Weierstrass (spinor) representation of surfaces. It is based on the talk given at the conference "Geometry related to the theory of integrable systems" (RIMS, Kyoto, September 2007).
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Operator Algebra Research · Geometric and Algebraic Topology