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

scholarly journals The effect of linear perturbations on the Yamabe problem

2013 ◽  
Vol 358 (1-2) ◽  
pp. 511-560 ◽  
Author(s):  
Pierpaolo Esposito ◽  
Angela Pistoia ◽  
Jérôme Vétois
Keyword(s):  
Yamabe Problem ◽  
Linear Perturbations

scholarly journals Large KAM Tori for Quasi-linear Perturbations of KdV

2021 ◽  
Author(s):  
Massimiliano Berti ◽  
Thomas Kappeler ◽  
Riccardo Montalto
Keyword(s):  
Kam Tori ◽  
Linear Perturbations

The Einstein pseudo-tensor and the flux integral for perturbed static space-times

1991 ◽  
Vol 435 (1895) ◽  
pp. 645-657 ◽  
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Einstein Equations ◽  
Second Variation ◽  
Common Procedure ◽  
Static Vacuum ◽  
Linear Perturbations ◽  
Maxwell Space ◽  
The Common ◽  
Static Space

The flux integral for axisymmetric polar perturbations of static vacuum space-times, derived in an earlier paper directly from the relevant linearized Einstein equations, is rederived with the aid of the Einstein pseudo-tensor by a simple algorism. A similar earlier effort with the aid of the Landau–Lifshitz pseudo-tensor failed. The success with the Einstein pseudo-tensor is due to its special distinguishing feature that its second variation retains its divergence-free property provided only the equations governing the static space-time and its linear perturbations are satisfied. When one seeks the corresponding flux integral for Einstein‒Maxwell space-times, the common procedure of including, together with the pseudo-tensor, the energy‒momentum tensor of the prevailing electromagnetic field fails. But, a prescription due to R. Sorkin, of including instead a suitably defined ‘Noether operator’, succeeds.

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

scholarly journals Solution of the Boolean Markus–Yamabe Problem

1999 ◽  
Vol 22 (1) ◽  
pp. 60-102 ◽  
Author(s):  
Mau-Hsiang Shih ◽  
Juei-Ling Ho
Keyword(s):  
Yamabe Problem
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