Definition of "foliating" []

• Present participle of foliate. (verb)

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• "I make this observation for the following reason: even though GR needs — as part of its input data — an orientation and a signature (assumed to be Lorentzian), spacetime orientation is not related to what is typically referred to as “arrow of time”; in fact, foliating spacetime into space and time leaves is not a trivial matter."
• "But yes, most often the “cosmological arrow of time” is not the same as the “time” used in say, the ADM formalism for foliating spacetime (especially with all the fun additions of lapse and shift)."
• "The central window appears to have been of only one light, though broad, and to have had its arch occupied by a foliation of six cusps, and therefore of seven recesses, -- the foliating spaces being solid."