Weierstrass Representation for Minimal Surfaces into BCV-Spaces

M. Koivogui, L. Todjihounde, M. Kourouma

Abstract


Bianchi-Cartan-Vranceanu spaces (BCV-spaces) are some 3-dimensional homogeneous manifolds equiped with a metric depending on 2 parameters $\kappa$ and $\tau$, and whose isometries groups are of dimension four. In this paper, we describe a Weierstrass-type representation formula for simply connected minimal surfaces immersed into BCV-spaces.

Keywords


Weierstrass representation; Minimal surfaces, BCV-spaces

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eISSN 0975-8607; pISSN 0976-5905