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)].

引用

页码：163 / 169

页数：7

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