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i am doing GR just for fun and have not any degree in physics neither mathematics. My question is simple:

i've just started to cutting and folding the pseudo Euclidian-plane (axes x, i*z). I've found that the pseudo-Euclidian analogue of the Euclidian 2-sphere is a hyberboloid (embedded in 3-space, axes x, y, i*z). Is the hyperbolic paraboloid (a saddle surface embedded in 3-space, axes x, y, i*z), the diffeomorphic equivalent of flat pseudo Euclidian-plane, that is to say, what a cone is to the real Euclidian plane?

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# What is a pseudo-Euclidian cone?

Can you offer guidance or do you also need help?

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