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Math Ann, 2023 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.
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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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Approximation of Foliations [PDF]
Canadian 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
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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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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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Quantization of gravity through hypersurface foliation [PDF]
, 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. Y. Park
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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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The Basic de Rham Complex of a Singular Foliation [PDF]
, 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
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Annales 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
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Integral Formulas for a Foliation with a Unit Normal Vector Field
Mathematics, 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
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