Generalized Weierstrass representation for surfaces and Lax-Phillips scattering theory for automorphic functions
Vadim V. Varlamov
TL;DR
This paper explores the connection between a generalized Weierstrass representation for conformally immersed surfaces and Lax-Phillips scattering theory for automorphic functions, revealing new insights into their mathematical relationship.
Contribution
It establishes a novel link between surface representation theory and scattering theory for automorphic functions, expanding understanding in differential geometry and mathematical physics.
Findings
Identifies a mathematical relationship between surface immersion and automorphic scattering.
Provides a framework connecting geometric surface theory with scattering phenomena.
Enhances methods for analyzing conformal immersions using scattering theory.
Abstract
Relation between generalized Weierstrass representation for conformal immersion of generic surfaces into three-dimensional space and Lax-Phillips scattering theory for automorphic functions is considered.
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Taxonomy
TopicsNonlinear Waves and Solitons · Geometry and complex manifolds · Advanced Algebra and Geometry