Submanifolds associated to Toda theories
E. P. Gueuvoghlanian
TL;DR
This paper introduces a geometric approach linking Toda theories to specific two-dimensional submanifolds in flat semi-Riemannian manifolds, providing a method and example for theories related to real finite-dimensional Lie algebras.
Contribution
It presents a novel geometric construction associating Toda theories with semi-Riemannian submanifolds, expanding the understanding of their geometric structure.
Findings
Established a correspondence between Toda theories and submanifolds
Provided a method to construct these submanifolds
Illustrated the approach with an example involving real Lie algebras
Abstract
A set of two-dimensional semi-riemannian submanifolds of flat semi-riemannian manifolds is associated to each Toda theory. The method and an example are given to Toda theories associated to real finite dimensional Lie algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology