Let \(\gamma\colon I\to M\) be a curve. The acceleration of \(\gamma\) is defined by \(D_t\gamma'\), where \(D_t\) is the covariant derivative along curves .
\[
\newcommand{\e}{\mathrm{e}}
\newcommand{\i}{\mathrm{i}}
\]
Let \(\gamma\colon I\to M\) be a curve. The acceleration of \(\gamma\) is defined by \(D_t\gamma'\), where \(D_t\) is the covariant derivative along curves .