Open AccessRIEMANNIAN MANIFOLDS ADMITTING A CONFORMAL TRANSFORMATION GROUP
Author(s) -
Kentarô Yano
Publication year - 1969
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.62.2.314
Subject(s) - conformal map , infinitesimal , mathematics , scalar curvature , riemannian manifold , pure mathematics , yamabe flow , transformation (genetics) , group (periodic table) , scalar (mathematics) , constant (computer programming) , mathematical analysis , transformation group , manifold (fluid mechanics) , riemann curvature tensor , curvature , sectional curvature , physics , geometry , chemistry , computer science , mechanical engineering , biochemistry , quantum mechanics , engineering , gene , programming language
LetM be a Riemannian manifold with constant scalar curvatureK which admits an infinitesimal conformal transformation. A necessary and sufficient condition in order that it be isometric with a sphere is obtained.Inequalities giving upper and lower bounds forK are also derived.