Soliton equations in N-dimensions as exact reductions of Self-dual Yang-Mills equation III. Soliton geometry in 2+1 and 3+1 dimensions

Details Soliton equations in N-dimensions as exact reductions of Self-dual Yang-Mills equation III. Soliton geometry in 2+1 and 3+1 dimensions Soliton equations in N-dimensions as exact reductions of Self-dual Yang-Mills equation III. Soliton geometry in 2+1 and 3+1 dimensions

1999-10-23

arxiv.org/abs/math/9910125v1

Mathematics

Differential Geometry

LaTex, 19 pages, no figures

Scientific paper

Some aspects of the relation between differential geometry of curves and
surfaces and multidimensional soliton equations is discussed. The connection
between multidimensional soliton equations and Self-dual Yang-Mills equation is
studied.

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