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1.
Olaf Müller 《Annals of Global Analysis and Geometry》2007,32(1):67-85
In this note a proof is given for global existence and uniqueness of minimal Lorentzian surface maps from a cylinder into
a large class of globally hyperbolic Lorentzian manifolds for given initial values up to the first derivatives.
The results of this article are part of my PhD thesis written at the Max-Planck institute for Mathematics in the Sciences
in Leipzig under the supervision of Prof. Jürgen Jost to whom I want to express my gratitude. 相似文献
2.
Manuel Ritoré Antonio Ros 《Transactions of the American Mathematical Society》1996,348(1):391-410
It is proved that the spaces of index one minimal surfaces and stable constant mean curvature surfaces with genus greater than one in (non fixed) flat three manifolds are compact in a strong sense: given a sequence of any of the above surfaces we can extract a convergent subsequence of both the surfaces and the ambient manifolds in the topology. These limits preserve the topological type of the surfaces and the affine diffeomorphism class of the ambient manifolds. Some applications to the isoperimetric problem are given.