中文

Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces

微分几何 2009-10-31 v3 可精确求解与可积系统 solv-int

摘要

Generalizations of the Weierstrass formulae to generic surface immersed into R4R^4, S4S^4 and into multidimensional Riemann spaces are proposed. Integrable deformations of surfaces in these spaces via the modified Veselov-Novikov equation are discussed.

关键词

引用

@article{arxiv.math/9804144,
  title  = {Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces},
  author = {B. G. Konopelchenko and G. Landolfi},
  journal= {arXiv preprint arXiv:math/9804144},
  year   = {2009}
}

备注

LaTeX, 20 pages, minor misprints corrected