Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces

1998/04/30 by B. G. Konopelchenko, G. Landolfi, G. Landofli · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Elasticity and Wave Propagation #Nonlinear Waves and Solitons #Thermoelastic and Magnetoelastic Phenomena #math.DG #msc:53A05 #msc:53A10 #nlin.SI #solv-int

paper · pdf · doi:10.1016/s0393-0440(98)00046-1

published as Journal of Geometry and Physics, 29, (1999), 319-333 · LaTeX, 20 pages, minor misprints corrected

openalex publication_date 1999/03/01 · arxiv created 1999/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generalizations of the Weierstrass formulae to generic surface immersed into R⁴, S⁴ and into multidimensional Riemann spaces are proposed. Integrable deformations of surfaces in these spaces via the modified Veselov-Novikov equation are discussed.

Citations

• Kleinian Geometry and the N=2 Superstring

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