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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

Existence and smoothness of the stable foliation for sectional hyperbolic attractors [PDF]

open access: yes, 2017
We prove the existence of a contracting invariant topological foliation in a full neighborhood for partially hyperbolic attractors. Under certain bunching conditions it can then be shown that this stable foliation is smooth.
Araújo, V., Melbourne, I.
core   +4 more sources

The hyperboloidal foliation method [PDF]

open access: yesSeries in Applied and Computational Mathematics, 2014
The Hyperboloidal Foliation Method presented in this monograph is based on a (3+1)-foliation of Minkowski spacetime by hyperboloidal hypersurfaces. It allows us to establish global-in-time existence results for systems of nonlinear wave equations posed ...
LeFloch, Philippe G., Ma, Yue
core   +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

Continuous leafwise harmonic functions on codimension one transversely isometric foliations

open access: yesProceedings of the American Mathematical Society, Series B, 2014
Let ℱ be a codimension one foliation on a closed manifold ℳ which admits a transverse dimension one Riemannian foliation. Then any continuous leafwise harmonic functions are shown to be constant on leaves.
Shigenori Matsumoto
doaj   +4 more sources

Prenatal treatment with metronidazole induces cerebellar folia alteration in guinea pig fetuses [PDF]

open access: yesArchives of Biological Sciences, 2020
The most sensitive period in brain development is during prenatal life. The use of antibiotics in pregnancy is still controversial. Recent studies revealed the high neurotoxic potential of the antibiotic and antiprotozoal medication, metronidazole ...
Čapo Ivan Đ.   +7 more
doaj   +1 more source

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

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

On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
The notion of systole of a foliation sys(ℱ) on an arbitrary foliated closed Riemannian manifold (M,ℱ) is introduced. A lower bound on sys(ℱ) of a bounded mean curvature foliation is given.
Dmytry Bolotov
doaj   +1 more source

Cosmological backreaction and its dependence on spacetime foliation [PDF]

open access: yesClassical and quantum gravity, 2018
The subject of cosmological backreaction in general relativity is often approached by coordinate-dependent and metric-based analyses. We present in this letter an averaging formalism for the scalar parts of Einstein’s equations that is coordinate ...
T. Buchert, P. Mourier, Xavier Roy
semanticscholar   +1 more source

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