scholarly journals A finiteness theorem for holonomic DQ-modules on Poisson manifolds

2021 ◽  
Vol 3 (3) ◽  
pp. 571-588
Author(s):  
Masaki Kashiwara ◽  
Pierre Schapira
Keyword(s):  
Poisson Manifolds ◽  
Finiteness Theorem

scholarly journals $L^{p}$ harmonic 1-forms on conformally flat Riemannian manifolds

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Jing Li ◽  
Shuxiang Feng ◽  
Peibiao Zhao
Keyword(s):  
Riemannian Manifold ◽  
Riemannian Manifolds ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Finiteness Theorem ◽  
Conformally Flat ◽  
Locally Conformally Flat ◽  
Flat Riemannian Manifold ◽  
Ricci Form

AbstractIn this paper, we establish a finiteness theorem for $L^{p}$ L p harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrödinger operators involving the squared norm of the traceless Ricci form. This result can be regarded as a generalization of Han’s result on $L^{2}$ L 2 harmonic 1-forms.

Prequantizable Poisson manifolds and Jacobi structures

1996 ◽  
Vol 29 (19) ◽  
pp. 6313-6324 ◽  
Author(s):  
Domingo Chinea ◽  
Juan C Marrero ◽  
Manuel de León
Keyword(s):  
Poisson Manifolds
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