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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, 2016
We prove the existence of a contracting invariant topological foliation in a full neighbourhood for partially hyperbolic attractors. Under certain bunching conditions, it can then be shown that this stable foliation is smooth.
V. Araújo, I. Melbourne
semanticscholar   +5 more sources

Distinct cerebellar foliation anomalies in a CHD7 haploinsufficient mouse model of CHARGE syndrome [PDF]

open access: yesAmerican Journal of Medical Genetics. Part C, Seminars in Medical Genetics, 2017
Mutations in the gene encoding the ATP dependent chromatin‐remodeling factor, CHD7 are the major cause of CHARGE (Coloboma, Heart defects, Atresia of the choanae, Retarded growth and development, Genital‐urinary anomalies, and Ear defects) syndrome ...
D. Whittaker   +8 more
semanticscholar   +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 ...
P. LeFloch, Yue Ma
semanticscholar   +3 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

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

Homotopy invariance of cohomology and signature of a riemannian foliation [PDF]

open access: yesMath. Z. 293 (2019), no. 1-2, 579-595, 2017
We prove that any smooth foliation that admits a Riemannian foliation structure has a well-defined basic signature, and this geometrically defined invariant is actually a foliated homotopy invariant. We also show that foliated homotopic maps between Riemannian foliations induce isomorphic maps on basic Lichnerowicz cohomology, and that the Alvarez ...
Habib, Georges, Richardson, Ken
arxiv   +2 more sources

Deforming metrics of foliations [PDF]

open access: yesOpen Mathematics, 2013
Abstract Let M be a Riemannian manifold equipped with two complementary orthogonal distributions D and D ⊥. We introduce the conformal flow of the metric restricted to D with the speed proportional to the divergence of the mean curvature vector H, and study the question: When the metrics converge to one for which ...
Rovenski Vladimir, Wolak Robert
doaj   +6 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

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

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