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Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space

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arxiv 0810.3351 v2 pith:5KKHAEAO submitted 2008-10-18 math.DG

Rafael López This is my paper · ORCID
classification math.DG
keywords spacesurfacescurveslorentz-minkowskiclassicalconstantcurvaturedifferences
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abstract

We review part of the classical theory of curves and surfaces in $3$-dimensional Lorentz-Minkowski space. We focus in spacelike surfaces with constant mean curvature pointing the differences and similarities with the Euclidean space.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Recovering the cosmological constant from affine geometry

    gr-qc 2019-08 reject novelty 4.0 of 10

    The cosmological constant of the de Sitter hyperboloid is rewritten as a Minkowski-Tzitzeica affine invariant, an identity in terms of the hyperboloid radius.

  2. Topics in Lorentz Geometry

    math.DG 2019-08 unverdicted novelty 2.0 of 10

    A mini-course exposition of Lorentz-Minkowski geometry: pseudo-Euclidean linear algebra, Frenet theory for curves with degenerate osculating planes, Weingarten diagonalization criteria, and split-complex Enneper-Weier...

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