### Differential-geometrical conditions between geodesic curves and ruled surfaces in the Lorentz space.

Ayyildiz, Nihat, Çöken, A.Ceylan, Yücesan, Ahmet (2002)

Balkan Journal of Geometry and its Applications (BJGA)

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Ayyildiz, Nihat, Çöken, A.Ceylan, Yücesan, Ahmet (2002)

Balkan Journal of Geometry and its Applications (BJGA)

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We discuss an apparent paradox (and conjectured resolution) of Jacobson and Venkataramani concerning 'temporarily toroidal' black hole horizons, in light of a recent connectivity theorem for spaces of complete causal curves. We do this in a self-contained manner by first reviewing the 'fastest curve argument' which proves this connectivity theorem, and we note that active topological censorship can be derived as a corollary of this argument. We argue that the apparent paradox arises...

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