Compact conformally flat Riemannian manifolds
نویسندگان
چکیده
منابع مشابه
Schouten curvature functions on locally conformally flat Riemannian manifolds
Consider a compact Riemannian manifold (M, g) with metric g and dimension n ≥ 3. The Schouten tensor Ag associated with g is a symmetric (0, 2)-tensor field describing the non-conformally-invariant part of the curvature tensor of g. In this paper, we consider the elementary symmetric functions {σk(Ag), 1 ≤ k ≤ n} of the eigenvalues of Ag with respect to g; we call σk(Ag) the k-th Schouten curva...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1973
ISSN: 0022-040X
DOI: 10.4310/jdg/1214431480