The cosmological constant of the de Sitter hyperboloid is rewritten as a Minkowski-Tzitzeica affine invariant, an identity in terms of the hyperboloid radius.
Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
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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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gr-qc 1years
2019 1verdicts
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Recovering the cosmological constant from affine geometry
The cosmological constant of the de Sitter hyperboloid is rewritten as a Minkowski-Tzitzeica affine invariant, an identity in terms of the hyperboloid radius.