Results 11 to 20 of about 76,662 (251)
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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Cerveau, Dominique, Neto, Alcides Lins
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Basics of Lagrangian foliations [PDF]
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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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]
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Marcela Popescu, Paul Popescu
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Integral foliated simplicial volume and circle foliations [PDF]
We show that the integral foliated simplicial volume of a compact oriented smooth manifold with a regular foliation by circles vanishes.
Caterina Campagnolo, Diego Corro
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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. transversely symplectic but not transversely Kahler, 2. transversely symplectic but not transversely holomorphic, 3. transversely Sasakian
Cordero, Luis A., Wolak, Robert A.
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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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Integral Formulas for a Foliation with a Unit Normal Vector Field
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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