WikiCards · Card list · Science cards · Curvature of Riemannian manifolds
Common card · Science
Curvature of Riemannian manifolds, a Common card
In mathematics, specifically differential geometry, the infinitesimal geometry of Riemannian manifolds with dimension greater than 2 is too complicated to be described by a single number at a given point.
- Rarity
- Common
- Domain
- Science
- ATK
- 58
- DEF
- 26
- Power
- 84
- Wikipedia reads a year
- 13,000
Power 84 (ATK + DEF): stronger than 25 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- Riemann introduced an abstract and rigorous way to define curvature for these manifolds, now known as the Riemann curvature tensor.
- Similar notions have found applications everywhere in differential geometry of surfaces and other objects.
- The curvature of a pseudo-Riemannian manifold can be expressed in the same way with only slight modifications.
Why it is Common
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Curvature of Riemannian manifolds article was read about 13,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 58 and blocks with 26: each hit it takes is cut by 10 %.
How to get Curvature of Riemannian manifolds
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Credits
Text : Wikipedia, Curvature of Riemannian manifolds (revision), CC BY-SA 4.0. Photo : Nicoguaro, CC0, Wikimedia Commons.