# Question about the kinematic equation

pliu123123
In Euclidean Space-Time, the kinematic equation is:
$$s^2=g_{\mu\nu}x^{\mu}x^{\nu}$$
am i correct if i write :
$$K^{\mu \nu}_{\mu \nu}=g_{\mu \nu}x^{\mu}x^{\nu}$$
where $$s^2=K^{\mu \nu}_{\mu \nu}$$?
thank you very much