Self \theta-congruent minimal surfaces in R^3

Research Report MRR98-057

Self \theta-congruent minimal surfaces in R³

Weihuan Chen and Yi Fang

Abstract: A surface with vanishing mean curvature in $\Bbb R^3$ is a minimal surface. In this paper we study self $\theta$ -congruent minimal surfaces, $0 \leq \theta < 2\pi$ , which are congruent with their $\theta$ -associated ones under rigid motions in $\Bbb R^3$ . We give necessary and sufficient condition via the Weierstrass pairs and some examples.

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Download paper:	PDF file (217K)
	gzipped DVI file (19K)

Download cover sheet:	PDF file (53K)
	DVI file (2K)

Self \theta-congruent minimal surfaces in R3

Weihuan Chen and Yi Fang

Self \theta-congruent minimal surfaces in R³