Many of the boulders showed a foliation in their strata with a dip of 45 deg.
"Across Unknown South America" by Arnold Henry Savage Landor
On the side toward the altar it was foliated and exquisitely carved in a manner that pleased Ruskin.
"Confessions of a Book-Lover" by Maurice Francis Egan
Beneath the lunette runs a fine band of foliated ornament, including birds.
"Bell's Cathedrals: The Cathedral Church of Rochester" by G. H. Palmer
L. No; and therefore, as I told you, it is not a characteristic specimen of a foliated crystallisation.
"The Crown of Wild Olive" by John Ruskin
Some are of wood, others of stone; the former are mostly polygonal, with the panels enriched with foliation or tracery.
"Our Homeland Churches and How to Study Them" by Sidney Heath
No Gothic is either good or characteristic which is not foliated either in its arches or apertures.
"The Stones of Venice, Volume II (of 3)," by John Ruskin
The recesses on the sides of the other cusps indicate their single or double lines of foliation.
"The Stones of Venice, Volume III (of 3)" by John Ruskin
In the Mesaba district of Minnesota the Archean consists of a complex of more or less foliated igneous rocks mostly basic in character.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 4" by Various
Side balls below the line of the top of the letters of "Prov., R. I.," and lower point of left foliation cuts into the left ball.
"History of the Postage Stamps of the United States of America" by John Kerr Tiffany
Foliated masses of this mineral occur in the river cliffs in St. Clair county, Illinois.
"Scenes and Adventures in the Semi-Alpine Region of the Ozark Mountains of Missouri and Arkansas" by Henry Rowe Schoolcraft
The general effect of the design remained the same, but the foliate ornamentation gave place to angular outlines.
"Canada: Its Postage Stamps and Postal Stationery" by Clifton Armstrong Howes
In their less foliated portions they can be recognized as true eruptive rocks.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6" by Various
Many of these orthogneisses are not equally well foliated throughout, but are massive or granitoid in places.
"Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 2" by Various
An arch or two did duty for architecture, any scrap of foliated ornament for landscape.
"Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 1" by Various
In Titian's portrait of Ariosto there is a dark foliated background which gives great brilliancy to the picture, but no sky is visible.
"The Evolution of Photography" by John Werge
The AISLE-ARCADE is often very elegant; the arches are usually foliated, and covered with a straight-sided canopy.
"The Seven Periods of English Architecture" by Edmund Sharpe
Stem from a fibrous root, 2-foliate.
"The Manual of the Botany of the Northern United States" by Asa Gray
Each of these foliations is a permanent record of a certain epoch.
"Omphalos" by Philip Henry Gosse
Dikes of igneous rocks may be followed into a region where they have been foliated by pressure.
"The Elements of Geology" by William Harmon Norton
Mr. Stillingfleet is the only person that has made correct observations upon the foliation of the trees and shrubs of this kingdom.
"Woodland Gleanings" by Charles Tilt
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Here we consider a similar situation: If {ψt | t ∈ [0, 1]} is a Hamiltonian isotopy of M and F a foliation on M , the action of ψt produces a family Ft of foliations.
Hamiltonian symplectomorphisms and the Berry phase
Indeed, the current paper generalizes the result of to algebraic foliations of arbitrary codimension, and the case of codimension zero foliations corresponds to the problem of resolving the singularities of V . 1.
On Resolving Singularities
Note that if δ induces a nonsingular foliation on V then it also induces a nonsingular foliation on eV = V .
On Resolving Singularities
Homothetic foliations by geodesics orthogonal to an umbilical foliation by hypersuraces .
Harmonic morphisms with one-dimensional fibres on Einstein manifolds
Recall (see ) that we say that V produces harmonic morphisms if it can be locally deﬁned by submersive harmonic morphisms. A foliation of codimension two produces harmonic morphisms if and only if it is a conformal foliation with minimal leaves .
Harmonic morphisms with one-dimensional fibres on Einstein manifolds
From Proposition 1.1 it follows that a foliation with minimal leaves of codimension not equal to 2 produces harmonic morphisms if and only if it is a homothetic foliation (this is essentially a result of ).
Harmonic morphisms with one-dimensional fibres on Einstein manifolds
Next in section 4 we introduce the notion of foliation in this category and check that asymptotically holomorphic foliations with some property of transversality give symplectic foliations.
Codimension one symplectic foliations
In the following section we move on to prove that it is possible to obtain asymptotically holomorphic foliations by embedding M into the pro jective space CPd and intersecting the image with a given holomorphic foliation of CPd .
Codimension one symplectic foliations
Globally, the leaves of the foliation α are the leaves of the foliation deﬁned in M − Sα .
Codimension one symplectic foliations
For foliations on CPn , n ≥ 6, it may be shown that any foliation of Kupka type is a branched Lefschetz pencil.
Codimension one symplectic foliations
Then the induced foliation αk = ψ∗ k α in M is an asymptotical ly holomorphic foliation and satisﬁes conditions (i) and (ii) of deﬁnition 4.2 with Kαk = ψ−1 k (ψk (M ) ∩ Sα ).
Codimension one symplectic foliations
Applying the theorem above for M ω ′ we get asymptotical ly holomorphic foliations, and therefore symplectic foliations for (M , ω), with hermitian normal bund les L⊗N k where c1 (L) = M [ω ′ ]/2π .
Codimension one symplectic foliations
Another useful example of foliations in the pro jective space are the logarithmic foliations as discussed in subsection 2.2.
Codimension one symplectic foliations
Before discussing the way that foliations relate to spacetime structure, let us look at some illuminating examples of foliations.
Proper Time Foliations of Lorentz Manifolds
For t small, this foliation remains transverse to the vertical foliation.
Geometric structures on fields
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