How to manipulate the determinant of metric tensor?

[jtceleron]

How to calculate something relating to the determinant of metric tensor? for example, its derivative $∂_{λ}$g.
and how to calculate1/g* $∂_{λ}$g, which is from (3.33) in the book Spacetime and Geometry, in which the author says that it can be related to the Christoffel connection.

 

[Bill_K]

See this recent thread.

 

[jtceleron]

See this recent thread.

thank you!