Given two points A and B on the surface of the hyperboloid x^2+y^2z^2=1. How to find the shortest distance between them along the surface?
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closed as too localized by S. Carnahan♦ Jan 18 '12 at 23:50This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question. 


Using the following formula $$ \cosh(d(A,B))=\frac{q(A,B)}{q(A)^{1/2}q(B)^{1/2}}, $$ where $$ q(A,B)=A^t I_{2,1} B = a_1b_1+a_2b_2a_3b_3 $$ with $I_{2,1}=diag(1,1,1)$. 

