Scalar curvature is the complete trace of the Riemann curvature tensor:An n-manifold of constant sectional curvature K has Scal=n(n−1)K.
Scal=∑i,j⟨R(ei,ej)ej,ei⟩.
Ancestors (10)
- Ricci curvature
- Sectional curvature
- Gauss equation
- Gauss–Codazzi equations
- Second fundamental form
- Differential geometry
- Geometry and topology
- Area of mathematics
- Mathematics
- Home
Incoming links (36)
- Compact harmonic-spinor rigidity under nonnegative scalar curvature
- Einstein-equation coupling under reversed curvature
- Einstein field equations
- Heat invariants
- Killing vector preserves scalar curvature
- Komar current from trace-reversed stress-energy
- Minimally coupled scalar field
- Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 12 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 14 / 5 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 28 / 5 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 56 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 57 / 2 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 18 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 55 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 55 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 20 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 23 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 61 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 64 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 1 / 35A / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 22 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 54 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 55 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 56 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 58 / Section I / vi / Solution
- Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 52 / 1 / c / Solution
- Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 52 / 4 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 52 / 2 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 309 / 1 / iii / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 131 / 1 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 309 / 4 / d / Solution
- Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 115 / 1 / c / Solution
- Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 131 / 2 / c / Solution
- Penrose inequality
- Riemannian Penrose inequality
- Schouten tensor
Discussion (0)
New discussionThere are no discussions about this article yet.
Articles by others on the same topic (0)
There are currently no matching articles.