Search results for "foliation"

showing 2 items of 112 documents

Topological canal foliations

2019

Regular canal surfaces of $\mathbb{R}^3$ or $\mathbb{S}^3$ admit foliations by circles: the characteristic circles of the envelope. In order to build a foliation of $\mathbb{S}^3$ with leaves being canal surfaces, one has to relax the condition “canal” a little (“weak canal condition”) in order to accept isolated umbilics. Here, we define a topological condition which generalizes this “weak canal” condition imposed on leaves, and classify the foliations of compact orientable 3-manifolds we can obtain this way.

rational parametrizationsQuantitative Biology::Tissues and OrgansGeneral MathematicsPhysics::Medical PhysicssurfacesTopology01 natural sciencesQuantitative Biology::Cell Behavior0103 physical sciencesotorhinolaryngologic diseases57R30[MATH]Mathematics [math]0101 mathematicsMathematicsEnvelope (waves)griddlingQuantitative Biology::Molecular Networks010102 general mathematicsOrder (ring theory)53C12foliationFoliation (geology)sense organsMathematics::Differential Geometry010307 mathematical physicscanal surfaceJournal of the Mathematical Society of Japan
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Complex multilayer carbon structures for green energetics

2017

The authors greatly acknowledge the IMIS2 project of the National Reform Programme of Latvia for financial support. The publication costs of this article were covered by the Estonian Academy of Sciences and the University of Tartu.

resistivityMaterials scienceChemical engineeringchemistrymultilayer carbon structuresEnergeticsGeneral Engineeringchemistry.chemical_elementelectrochemical exfoliation:NATURAL SCIENCES::Physics [Research Subject Categories]Raman spectra7. Clean energyCarbonProceedings of the Estonian Academy of Sciences
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