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Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics [PDF]
Universe, 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
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Existence and smoothness of the stable foliation for sectional hyperbolic attractors [PDF]
, 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.
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Distinct cerebellar foliation anomalies in a Chd7 haploinsufficient mouse model of CHARGE syndrome [PDF]
American 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 ...
Abadie +74 more
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The hyperboloidal foliation method [PDF]
Series 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
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β-Catenin is critical for cerebellar foliation and lamination. [PDF]
PLoS 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
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Homotopy invariance of cohomology and signature of a riemannian foliation [PDF]
Math. 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
Basics of Lagrangian foliations [PDF]
Publicacions 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
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Continuous leafwise harmonic functions on codimension one transversely isometric foliations
Proceedings 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
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Annales de la Faculté des sciences de Toulouse : Mathématiques, 2021 45 ...
Cerveau, Dominique, Neto, Alcides Lins
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TRANSCRIPTION FACTORS IN CEREBELLAR DEVELOPMENT [PDF]
Trakia 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
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