A characterization of shortest geodesics on surfaces.

Neumann-Coto, Max

Displaying similar documents to “A characterization of shortest geodesics on surfaces.”

A new proof of the existence of the minimum for a classical integral

Fernando Bertolini (1953)

Compositio Mathematica

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Fastest curves and toroidal black holes

E. Woolgar (1997)

Banach Center Publications

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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...