scholarly journals A compactness theorem for the fractional Yamabe problem, Part I: The nonumbilic conformal infinity

2021 ◽  
Author(s):  
Seunghyeok Kim ◽  
Monica Musso ◽  
Juncheng Wei
Keyword(s):  
Compactness Theorem ◽  
Yamabe Problem

scholarly journals A compactness theorem for the Yamabe problem

2009 ◽  
Vol 81 (1) ◽  
pp. 143-196 ◽  
Author(s):  
M.A. Khuri ◽  
F.C. Marques ◽  
R.M. Schoen
Keyword(s):  
Compactness Theorem ◽  
Yamabe Problem

scholarly journals Interpretability over peano arithmetic

1999 ◽  
Vol 64 (4) ◽  
pp. 1407-1425
Author(s):  
Claes Strannegård
Keyword(s):  
Modal Logic ◽  
Completeness Theorem ◽  
Peano Arithmetic ◽  
Embedding Theorem ◽  
Compactness Theorem ◽  
Partial Answer ◽  
Recursively Enumerable ◽  
Recursively Enumerable Sets ◽  
Interpretability Logic

AbstractWe investigate the modal logic of interpretability over Peano arithmetic. Our main result is a compactness theorem that extends the arithmetical completeness theorem for the interpretability logic ILMω. This extension concerns recursively enumerable sets of formulas of interpretability logic (rather than single formulas). As corollaries we obtain a uniform arithmetical completeness theorem for the interpretability logic ILM and a partial answer to a question of Orey from 1961. After some simplifications, we also obtain Shavrukov's embedding theorem for Magari algebras (a.k.a. diagonalizable algebras).

Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity

2021 ◽  
Vol 29 (2) ◽  
pp. 363-407
Author(s):  
Shengbing Deng ◽  
Seunghyeok Kim ◽  
Angela Pistoia
Keyword(s):  
Yamabe Problem ◽  
Linear Perturbations

Variational structure of the vn2-Yamabe problem

2018 ◽  
Vol 56 ◽  
pp. 187-201 ◽  
Author(s):  
Matthew Gursky ◽  
Jeffrey Streets
Keyword(s):  
Yamabe Problem ◽  
Variational Structure
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