Suppose, I know the metric tensor of a 2D space. for example, the metric tensor of a sphere of radius R,(adsbygoogle = window.adsbygoogle || []).push({});

g_{ij}= ##\begin{pmatrix} R^2 & 0 \\ 0 & R^2\cdot sin^2\theta \end{pmatrix}##

,and I just know the metric tensor, but don't know that it is of a sphere.

Now I want to draw a 2D space(surface) which will have the metric tensor g_{ij}and will be embedded on 3D Euclidean space.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How to draw a 2D space in 3D Euclidean space by metric tensor

**Physics Forums | Science Articles, Homework Help, Discussion**