PRESCRIBING SCALAR CURVATURES ON n-DIMENSIONAL MANIFOLDS, 4 ≤ n ≤ 6

被引：4
|
作者：
Alghanemi, Azeb [1 ]
Chtioui, Hichem [2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, POB 80230, Jeddah, Saudi Arabia
[2] Fac Sci Sfax, Dept Math, Sfax 3018, Tunisia
来源：
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2020年 / 73卷 / 02期
关键词：
scalar curvature; critical PDE; variational method; critical points at infinity; S-N; CONFORMAL METRICS; EXISTENCE; PROOF;
D O I：
10.7546/CRABS.2020.02.03
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We provide existence and multiplicity theorems for the scalar curvature problem on Riemannian manifolds of dimensions 4, 5 and 6. Our approach is based on the critical points theory of Bahri [(5)] and uses the positive mass theorem of Schoen-Yau [(20)].
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页码：163 / 169
页数：7
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