Open AccessLocally conformally flat manifolds with constant scalar curvature
Author(s) -
Huiya He,
Haizhong Li
Publication year - 2018
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/14148
Subject(s) - algorithm , curvature , artificial intelligence , computer science , mathematics , geometry
Let ( M n , g ) (M^n,g) be an n n -dimensional ( n ≥ 4 ) (n\geq 4) compact locally conformally flat Riemannian manifold with constant scalar curvature and constant squared norm of Ricci curvature. Applying the moving frame method, we prove that such a Riemannian manifold does not exist if its Ricci curvature tensor has three distinct eigenvalues.