Date of Award

Summer 8-5-2015

Degree Type

Masters Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Committee Chair

Dr. Sungwook Lee

Committee Chair Department

Mathematics

Committee Member 2

Dr. James Lambers

Committee Member 2 Department

Mathematics

Committee Member 3

Dr. William Hornor

Committee Member 3 Department

Mathematics

Abstract

In this thesis, I studied Lorentz invariant spacelike surfaces with constant mean curvature H = c in the anti-de Sitter 3-space H31(−c2) of constant curvature −c2. In particular, I construct Lorentz invariant spacelike surfaces of constant mean curvature c and maximal Lorentz invariant spacelike surfaces in H31(−c2). I also studied the limit behavior of those constant mean curvature c surfaces in H31(−c2). It turns out that they approach a maximal catenoid in Minkowski 3-space E31 as c 0. The limit maximal catenoid is Lorentz invariant in E31.

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