scholarly journals Horizontal holonomy and foliated manifolds

2019 ◽  
Vol 69 (3) ◽  
pp. 1047-1086 ◽  
Author(s):  
Yacine Chitour ◽  
Erlend Grong ◽  
Frédéric Jean ◽  
Petri Kokkonen
Keyword(s):  
Foliated Manifolds

scholarly journals Second-Order Geometric Flows on Foliated Manifolds

2017 ◽  
Vol 28 (1) ◽  
pp. 697-725
Author(s):  
Lucio Bedulli ◽  
Weiyong He ◽  
Luigi Vezzoni
Keyword(s):  
Second Order ◽  
Geometric Flows ◽  
Foliated Manifolds

scholarly journals Residues and homology for pseudodifferential operators on foliations

2004 ◽  
Vol 94 (1) ◽  
pp. 75 ◽  
Author(s):  
M.-T. Benameur ◽  
V. Nistor
Keyword(s):  
Diophantine Approximation ◽  
Pseudodifferential Operators ◽  
Hochschild Homology ◽  
Foliated Manifold ◽  
Homology Groups ◽  
General Properties ◽  
Poisson Homology ◽  
Foliated Manifolds

We study the Hochschild homology groups of the algebra of complete symbols on a foliated manifold $(M,F)$. The first step is to relate these groups to the Poisson homology of $(M,F)$ and of other related foliated manifolds. We then establish several general properties of the Poisson homology groups of foliated manifolds. As an example, we completely determine these Hochschild homology groups for the algebra of complete symbols on the irrational slope foliation of a torus (under some diophantine approximation assumptions). We also use our calculations to determine all residue traces on algebras of pseudodifferential operators along the leaves of a foliation.

Analysis and Geometry in Foliated Manifolds

1996 ◽  
Author(s):  
Xosé Masa ◽  
Enrique Macias-Virgós ◽  
Jesús A. Alvarez López
Keyword(s):  
Foliated Manifolds

scholarly journals On fibering certain foliated manifolds overS1

Topology ◽  
1970 ◽  
Vol 9 (2) ◽  
pp. 153-154 ◽  
Author(s):  
D. Tischler
Keyword(s):  
Foliated Manifolds

scholarly journals Characteristic numbers of foliated manifolds

Topology ◽  
1967 ◽  
Vol 6 (4) ◽  
pp. 467-471 ◽  
Author(s):  
Bruce L. Reinhart
Keyword(s):  
Characteristic Numbers ◽  
Foliated Manifolds
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