Parameter of $S^2\times S^2$ I want to compute the connection and curvature of $S^2\times S^2$ with induced metric in $R^n$. But I dont know how to represent it by equation. So, I can't begin. May I have some hint ?
$$
(\sqrt{y_1^2+y_2^2+y^2_3}-3)^2+y_4^2+y_5^2 =1    ~~~~~~~\text{or}   \\
((3+\sin C)\cos B \sin A , (3+\sin C)\cos B\cos A, (3+\sin C)\sin B,\cos C\sin D,\cos C \cos D)
$$

The big radius is 3 ,and little radius is 1. The way is likely to parameter of $T^2$.
$$
(\sqrt{y_1^2+y_2^2+y^2_3}-3)^2+y_4^2+y_5^2 =1    ~~~~~~~\text{or}   \\
((3+\sin C)\cos B \sin A , (3+\sin C)\cos B\cos A, (3+\sin C)\sin B,\cos C\sin D,\cos C \cos D)
$$

The big radius is 3 ,and little radius is 1. The way is likely to parameter of $T^2$.