Lorentz Invariant Spacelike Surfaces With Constant Mean Curvature In Anti De Sitter 3 Space

Download or read book Lorentz Invariant Spacelike Surfaces with Constant Mean Curvature in Anti-de Sitter 3-space written by Jamie Patrick Lambert and published by . This book was released on 2015 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, I studied Lorentz invariant spacelike surfaces with constant mean curvature H = c in the anti-de Sitter 3-space [mathematical formula] of constant curvature [mathematical element]. In particular, I construct Lorentz invariant spacelike surfaces of constant mean curvature c and maximal Lorentz invariant spacelike surfaces in [mathematical formula]. I also studied the limit behavior of those constant mean curvature c surfaces in [mathematical formula]. It turns out that they approach a maximal catenoid in Minkowski 3-space [mathematical element]. The limit maximal catenoid is Lorentz invariant in [mathematical element]. --Page ii.