foliating

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.

Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

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).

Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

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.

The "Ladies of Llangollen" as Sketched by Many Hands; with Notices of Other Objects of Interest in "That Sweetest of Vales" John Hicklin

The interior of the Church of St. Lawrence is richer than any other I remember, with its magnificent pillars of dark red stone, rising and foliating out to form the roof; its splendid windows of stained glass, glowing with sacred story; a high gallery of stone entirely round the choir, and beautiful statuary on every column.

The Complete Project Gutenberg Writings of Charles Dudley Warner Charles Dudley Warner 1864

The interior of the Church of St. Lawrence is richer than any other I remember, with its magnificent pillars of dark red stone, rising and foliating out to form the roof; its splendid windows of stained glass, glowing with sacred story; a high gallery of stone entirely round the choir, and beautiful statuary on every column.

Saunterings Charles Dudley Warner 1864

Even when its canopy is actually supported by the wall behind, it is apparently supported by two columns in front, perfectly formed with bases and capitals: -- (the support of the Northern niche -- if it have any -- commonly takes the form of a buttress): -- when it appears as a detached pinnacle, it is supported on four columns, the canopy trefoliated with very obtuse cusps, richly charged with foliage in the foliating space, but undecorated at the cusp points, and terminating above in a smooth pyramid, void of all ornament, and never very acute.

On the Old Road Vol. 1 (of 2) A Collection of Miscellaneous Essays and Articles on Art and Literature John Ruskin 1859

554 GENERAL REVIEW Book II* an arbitrary nature, were ever likely to defray the extraor - dinary expences of the crown, and to fuperfede the necef - fity of foliating taxes from parliament?

An historical view of the English government, : from the settlement of the Saxons in Britain to the accession, of the House of Stewart. 1790