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Foliation adjunction. [PDF]

open access: yesMath Ann, 2023
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   +8 more sources

Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics [PDF]

open access: yesUniverse, 2019
The recently proposed holography-inspired approach to quantum gravity is reviewed and expanded. The approach is based on the foliation of the background spacetime and reduction of the offshell states to the physical states.
Inyong Park
doaj   +2 more sources

β-Catenin is critical for cerebellar foliation and lamination. [PDF]

open access: yesPLoS ONE, 2013
The cerebellum has a conserved foliation pattern and a well-organized layered structure. The process of foliation and lamination begins around birth.
Jing Wen   +4 more
doaj   +2 more sources

Quantization of gravity through hypersurface foliation [PDF]

open access: green, 2014
We have recently proposed in \cite{Park:2014tia} the quantization of pure 4D Einstein gravity through hypersurface foliation, and observed that the 4D Einstein gravity becomes renormalizable once all (or most) of the unphysical degrees of freedom are ...
I. Park
semanticscholar   +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

The Basic de Rham Complex of a Singular Foliation [PDF]

open access: yes, 2021
A singular foliation $\mathcal F$ gives a partition of a manifold $M$ into leaves whose dimension may vary. Associated to a singular foliation are two complexes, that of the diffeological differential forms on the leaf space $M / \mathcal F$, and that of
David Miyamoto
semanticscholar   +1 more source

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

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

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