Metric compatibility is ∇αgμν=0, allowing the metric to pass through covariant derivatives and index operations.
Ancestors (6)
Incoming links (77)
- Connection matrix in an orthonormal frame is skew-symmetric
- Curvature of a diagonal plane wave in Rosen coordinates
- Disformation tensor
- Local formula for the Chern connection on a vector bundle
- Metric compatibility
- Metric compatibility of the spatial covariant derivative
- Nonmetricity tensor
- Orthogonality of proper-time deviation vectors
- Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 68 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 14 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 14 / 5 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 55 / 1 / 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 58 / 6 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 59 / 1 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 60 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 60 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 15 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 15 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 55 / 3 / i / 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 63 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2006 / ii / Paper 1 / 35A / Solution
- Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 20 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 57 / 1 / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 58 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 58 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 13 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 13 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 15 / 5 / a / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 15 / 5 / c / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 54 / 1 / a / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 56 / 5 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 14 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 14 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 22 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 56 / 1 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 56 / 2 / c / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 56 / 2 / d / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 56 / 2 / e / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 56 / 4 / a / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 56 / 4 / a / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 57 / 1 / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 15 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 15 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 49 / 3 / a / iii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 49 / 3 / a / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 49 / 4 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 50 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 53 / 1 / a / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 18 / 4 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 52 / 1 / b / iii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 52 / 2 / b / iv / Solution
- Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 52 / 3 / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 52 / 4 / b / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 118 / 3 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 118 / 3 / c / Solution
- Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 115 / 4 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 115 / 4 / c / Solution
- Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 309 / 2 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 309 / 4 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 312 / 1 / a / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2017 / ii / Paper 1 / 36D / Solution
- Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 309 / 4 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 118 / 4 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 118 / 4 / c / Solution
- Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 309 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 1 / 38D / iii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 309 / 1 / a / iii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 309 / 1 / d / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 309 / 2 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 309 / 3 / a / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 2 / 38E / a / Solution
- Projected Chern connection
- Scalar stress-energy divergence identity
- Spatial metric sign for a unit timelike normal
- Square of a Killing-Yano two-form
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.