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Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces

Authors:	B G Konopelchenko G Landofli

Institution:	^a Dipartimento di Fisica, Universitá di Lecce, 73100, Lecce, Italy ^b INFN, Sezione di Lecce, 73100, Lecce, Italy

Abstract:	Generalizations of the Weierstrass formulae to surface immersed into ⁴, ⁴ and into multidimensional Riemann spaces are proposed. Integrable deformations of surfaces in these spaces via the modified Veselov-Novikov equation are discussed.

Keywords:	Differential geometryAuthor Keywords: Integrable deformation of surfaces Generalized Weierstrass representation Riemann spaces
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