Space-like surfaces of constant mean curvature in de Sitter 3-space S31
Date of Completion
A Bryant type representation formula for space-like surfaces of constant mean curvature 1 (abbreviated as CMC 1) in de Sitter 3-space S31 is obtained. The formula is used to investigate a correspondence between CMC 1 space-like surfaces in S31 and maximal space-like surfaces in the Minkowski 3-space L3 . Three types of Gauss maps are discussed, and their relationships to each other are investigated. The Weierstrass type representation formula f0=ℜez0
Lee, Sungwook, "Space-like surfaces of constant mean curvature in de Sitter 3-space S31" (2002). Doctoral Dissertations. AAI3071211.