The area element for a surface with first fundamental form
 |
is
 |
where 
is the wedge product.
Area Element
See also
Area, First Fundamental Form, Line Element, Riemannian Metric, Surface Area, Volume ElementExplore with Wolfram|Alpha
References
Gray, A. "The Intuitive Idea of Area on a Surface." §15.3 in Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, pp. 351-353, 1997.Referenced on Wolfram|Alpha
Area ElementCite this as:
Weisstein, Eric W. "Area Element." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AreaElement.html