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Ricci Scalar Curvature

Definition. The scalar curvature is usually denoted by S (other notations are Sc, R ).

Ricci Scalar Curvature is described in multiple online sources, as addition to our editors' articles, see section below for printable documents, Ricci Scalar Curvature books and related discussion.

Suggested Pdf Resources

Manifolds of Positive Scalar Curvature Stephan Stolz* Department of
tional, Ricci,scalar,curvature operator,e.t.c.
Ricci flow, scalar curvature and the Poincaré Conjecture
Ricci flow, scalar curvature and the Poincaré. Conjecture. Sylvain Maillot.
Ricci flow on a 3-manifold with positive scalar curvature I
Curvature Tensors for Non-Abelian Kaluza-Klein Dyons
Jun 28, 2010 tensor automatically, not put by hand from outside. The Ricci scalar curvature R van-ishes. PACS numbers: 04.

Suggested Web Resources

Scalar curvature - Wikipedia, the free encyclopedia
In Riemannian geometry, the scalar curvature (or Ricci scalar) is the simplest curvature invariant of a Riemannian manifold.
Ricci curvature - Wikipedia, the free encyclopedia
PlanetMath: Ricci tensor
Sep 7, 2006 The Ricci curvature tensor is a rank $2$ , symmetric tensor that arises naturally in pseudo-Riemannian geometry.
Scalar Curvature -- from Wolfram MathWorld
4 days ago The scalar curvature, also called the "curvature scalar" (e.g., Weinberg 1972, p.
Noncompact Kahler manifolds with nonzero Ricci tensor but
Jan 25, 2011 Let us consider a noncompact K\"{a}hler manifold with vanishing scalar curvature but nonzero Ricci tensor.

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