- #1

mahdisadjadi

- 6

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## Homework Statement

Assume that we have a metric like:

[tex]

ds^{2}=f dr^{2}+ g d\theta^{2}+ h d\varphi^{2}

[/tex]

where [tex] r,\theta , \varphi[/tex] are spherical coordinates.

f,g and h are some functions of r and theta but not phi.

## Homework Equations

How can I calculate Gaussian curvature in r-theta, r-phi and theta-phi plane(2D)?

And also how for original metric(3D)?

## The Attempt at a Solution

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