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Showing 1 to 2 of 2 for “"maximal surfaces"”.
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Maximal Surfaces in Complexes
… is defined to be the maximum genus of all surfaces that are subcomplexes of the cubical complex. A formula is given for determining the genus of the cubical complex C(k_1,...,k_n) when at least three of the k_i are odd integers. For the remaining cases a general solution is not known. When …
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Lorentz Invariant Spacelike Surfaces of Constant Mean Curvature in Anti-de Sitter 3-Space
… 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 H<sup>3</sup><sub>1</sub>(<em>−c</em><sup>2</sup>) of constant curvature <em>−c</em><sup>2</sup>. In particular, I construct Lorentz …