e/Gauss-Codazzi equations (relativity)

Information
has gloss	eng: The Gauss–Codazzi equations are the following collection of equations which relate the 4-dimensional Riemann tensor R_abcd}, Ricci tensor R_ab} and Ricci scalar R to their projection onto a 3-dimensional hypersurface embedded within 4-dimensional space-time, which will be denoted by }^(3)}R_abcd}, }^(3)}R_ab} and }^(3)}R, respectively.
lexicalization	eng: Gauss-Codazzi equations
lexicalization	eng: Gauss–Codazzi equations
instance of	c/Mathematical methods in general relativity