Continuous leafwise harmonic functions on codimension one transversely isometric foliations
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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Prenatal treatment with metronidazole induces cerebellar folia alteration in guinea pig fetuses [PDF]
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
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STRUCTURES OF BIRIMIAN AND TARKWAIAN ROCKS AT NORTH-WEST NEW DROBO – IMPLICATION ON DEFORMATION [PDF]
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
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Examples of foliations with foliated geometric structures [PDF]
We present examples of foliated compact nilmanifolds, whose foliations are neither simple nor given by suspensions, admitting various foliated geometric structures. For example, we construct foliations which are: 1. transversally symplectic but not transversally Kähler, 2. transversally symplectic but not transversally holomorphic, 3.
Cordero, Luis A., Wolak, Robert A.
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On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds
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
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Holomorphic foliations and deformations of the Hopf foliation [PDF]
A deformation theory for transversally holomorphic foliations is developed here and used to give an explicit description of the transver- sally holomorphic foliations near the "Hopf foliations" on odd dimen- sional spheres. Introduction. In (1) and (2) we began the study of the deformation theory of holomorphic foliations on a smooth compact manifold ...
Duchamp, T., Kalka, M.
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Let X be a compact manifold and let k be an integer. It is shown that the set of homeomorphism conjugacy classes of germs at X of foliations of codimension k and the set of homeomorphism conjugacy classes of (holonomy) representations of ∏ 1 ( X ) {\prod _1}(X)
Michael Shub, Harold I. Levine
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PETRO-MECHANICAL STUDIES OF THE STRATIGRAPHIC UNITS OF THE TARKWAIAN SUPERGROUP IN TARKWA – IMPLICATIONS FOR THE STRUCTURAL AND MECHANICAL COMPETENCE OF ROCKS [PDF]
Main purpose of this paper is to determine the mineralogical composition and mechanical properties of the Tarkwaian Supergroup and compare them. This project will help determine whether the rock units of the Tarkwaian Supergroup are competent based on ...
Matthew Coffie Wilson +3 more
doaj +1 more source
Foliated hyperbolicity and foliations with hyperbolic leaves [PDF]
Given a lamination in a compact space and a laminated vector field $X$ which is hyperbolic when restricted to the leaves of the lamination, we distinguish a class of $X$-invariant probabilities that describe the behavior of almost every $X$-orbit in every leaf, which we call Gibbs $u$-states. We apply this to the case of foliations in compact manifolds
Bonatti, Christian +2 more
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Foliated vector bundles and Riemannian foliations [PDF]
6 ...
Marcela Popescu, Paul Popescu
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