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Foliation adjunction. [PDF]

open access: yesMath Ann
Abstract We present an adjunction formula for foliations on varieties and we consider applications of the adjunction formula to the cone theorem for rank one foliations and the study of foliation singularities.
Cascini P, Spicer C.
europepmc   +6 more sources

Approximation of Foliations [PDF]

open access: bronzeCanadian Mathematical Bulletin, 1971
Let be two foliations on a Cr manifold M. We say and are Ck-conjugate if there exists a Ck diffeomorphism h:M→M such that h maps the leaves of onto the leaves of .
Maurice E. Cohen
openalex   +3 more sources

TRANSCRIPTION FACTORS IN CEREBELLAR DEVELOPMENT [PDF]

open access: yesTrakia Journal of Sciences, 2023
The cerebellar germ arises from the rhombic lip, and it’s a rostral part from the mesencephalon. The following cellular processes take place in the developing cerebellum: proliferation, migration, differentiation, synapse formation and cell death.
I. Velikov
doaj   +1 more source

Logarithmic foliations [PDF]

open access: yesAnnales de la Faculté des sciences de Toulouse : Mathématiques, 2021
The purpose of this paper is to study singular holomorphic foliations of arbitrary codimension defined by logarithmic forms on projective spaces.
Cerveau, Dominique, Neto, Alcides Lins
openaire   +5 more sources

Integral Formulas for a Foliation with a Unit Normal Vector Field

open access: yesMathematics, 2021
In this article, we prove integral formulas for a Riemannian manifold equipped with a foliation F and a unit vector field N orthogonal to F, and generalize known integral formulas (due to Brito-Langevin-Rosenberg and Andrzejewski-Walczak) for foliations ...
Vladimir Rovenski
doaj   +1 more source

Using Continuum-Discontinuum Element Method to Model the Foliation-Affected Fracturing in Rock Brazilian Test

open access: yesAdvances in Civil Engineering, 2021
In this study, the continuum-discontinuum element method (CDEM) was used to investigate the tensile fracture mechanism of rock materials. An isotropic rock disk model and models considering different foliation inclinations were established, and three ...
Qunlei Zhang   +5 more
doaj   +1 more source

Holomorphic foliations and deformations of the Hopf foliation [PDF]

open access: yesPacific Journal of Mathematics, 1984
A deformation theory for transversally holomorphic foliations is developed here and used to give an explicit description of the transver- sally holomorphic foliations near the "Hopf foliations" on odd dimen- sional spheres. Introduction. In (1) and (2) we began the study of the deformation theory of holomorphic foliations on a smooth compact manifold ...
Duchamp, T., Kalka, M.
openaire   +2 more sources

STRUCTURES OF BIRIMIAN AND TARKWAIAN ROCKS AT NORTH-WEST NEW DROBO – IMPLICATION ON DEFORMATION [PDF]

open access: yesMalaysian Journal of Geosciences, 2022
This research leads to identifying the microstructures, the deformation episodes (D) and foliation grades (S) of rocks in the study area. Different geological structures such as shear zones, foliations, micro-faults, crack-seal events, etc.
Matthew Coffie Wilson   +2 more
doaj   +1 more source

Examples of foliations with foliated geometric structures [PDF]

open access: yesPacific Journal of Mathematics, 1990
We present examples of foliated compact nilmanifolds, whose foliations are neither simple nor given by suspensions, admitting various foliated geometric structures. For example, we construct foliations which are: 1. transversally symplectic but not transversally Kähler, 2. transversally symplectic but not transversally holomorphic, 3.
Cordero, Luis A., Wolak, Robert A.
openaire   +3 more sources

Foliated vector bundles and Riemannian foliations [PDF]

open access: yesComptes Rendus. Mathématique, 2011
In this Note we prove the equivalence between the Riemannian foliation and each of the following conditions: 1) the lifted foliation Fr on the bundle of r-transverse jets is Riemannian for r⩾1; 2) the foliation F0r on the slashed J0r is Riemannian and vertically exact for r⩾1; 3) there exists a positively admissible transverse Lagrangian on J0rE, the r-
Popescu, Paul, Popescu, Marcela
openaire   +3 more sources

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