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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

On ergodic foliations [PDF]

open access: bronzeErgodic Theory and Dynamical Systems, 1988
AbstractWe define an ergodic ℤ-foliation and show that it can be realized as a quotient space of the ‘covering space’. The covering space has two actions, T and S, where T is a ℤ-action, S is a map of order two, and S and T skew-commute; that is, STS = T−1.
Kyewon Park
openalex   +3 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   +4 more sources

Basics of Lagrangian foliations [PDF]

open access: greenPublicacions Matemàtiques, 1989
The paper is an exposition of basic known local and global results on Lagrangian foliations such as the theorems of Darboux-Lie, Weinstein, Arnold-Liouville, a global characterization of cotangent bundles, higher order Maslov classes, etc.
Izu Vaisman
openalex   +8 more sources

ON LEVI FOLIATION

open access: bronzeMemoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1984
This paper considers the existence of local complex foliations of smooth CR submanifolds near a point z, where the dimension of the Levi null space might jump. Suppose z is generic in the sense that the dimension of the Levi null space is at least q in a neighborhood of z and the set where this dimension is exactly q is dense in a neighbourhood of z ...
Yukitaka Abe
openalex   +5 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
45 ...
Cerveau, Dominique, Neto, Alcides Lins
openaire   +4 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

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