Lorentz Invariant Spacelike Surfaces of Constant Mean Curvature in Anti-de Sitter 3-Space

<p>In this thesis, I studied Lorentz invariant spacelike surfaces with constant mean curvature <em>H</em><em> </em>= <em>c</em><em> </em>in the anti-de Sitter 3-space H³₁(<em>−c</em>²) of constant curvature <em>−c</em>². In particular, I construct Lorentz invariant spacelike surfaces of constant mean curvature <em>c</em><em> </em>and maximal Lorentz invariant spacelike surfaces in H³₁(<em>−c</em>²). I also studied the limit behavior of those constant mean curvature <em>c</em><em> </em>surfaces in H³₁(<em>−c</em>²). It turns out that they approach a maximal catenoid in Minkowski 3-space E³₁ as <em>c</em><em> </em><em>→</em><em> </em>0. The limit maximal catenoid is Lorentz invariant in E³₁.</p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Masters Thesis

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2015

Author dc:creator

• Lambert, Jamie Patrick

Contributors dc:contributor

• Sungwook Lee
• James Lambers
• William Hornor

• CMC
• anti-de Sitter
• Lorentz invariant spacelike surfaces
• maximal surfaces
• Geometry and Topology
• Mathematics
• Physics

Repository record dc:identifier

https://aquila.usm.edu/masters_theses/119

OAI identifier oai:identifier

oai:aquila.usm.edu:masters_theses-1133