Differentiable mappings between foliated manifolds

1977 ◽  
Vol 8 (1) ◽  
pp. 39-46 ◽  
Author(s):  
L. A. Favaro
2017 ◽  
Vol 28 (1) ◽  
pp. 697-725
Author(s):  
Lucio Bedulli ◽  
Weiyong He ◽  
Luigi Vezzoni

2000 ◽  
Vol 33 (4) ◽  
Author(s):  
P. Cerone ◽  
S. S. Dragomir ◽  
J. Roumeliotis ◽  
J. Šunde

2004 ◽  
Vol 94 (1) ◽  
pp. 75 ◽  
Author(s):  
M.-T. Benameur ◽  
V. Nistor

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.


2008 ◽  
Vol 192 (899) ◽  
pp. 0-0 ◽  
Author(s):  
Piotr Hajłasz ◽  
Tadeusz Iwaniec ◽  
Jan Malý ◽  
Jani Onninen

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