\begin{tikzpicture}[scale=\textwidth/5cm,samples=200]
    \draw (-1,0) arc (180:360:1cm and 0.5cm);
    \draw[dashed] (-1,0) arc (180:0:1cm and 0.5cm);
    \draw (0,1) arc (90:270:0.5cm and 1cm);
    \draw[dashed] (0,1) arc (90:-90:0.5cm and 1cm);
    \draw (0,0) circle (1cm);
    \shade[ball color=blue!10!white,opacity=0.20] (0,0) circle (1cm);

	\draw (-5,0) arc (180:360:1cm and 0.5cm);
    \draw[dashed] (-5,0) arc (180:0:1cm and 0.5cm);
    \draw (-4,1) arc (90:270:0.5cm and 1cm);
    \draw[dashed] (-4,1) arc (90:-90:0.5cm and 1cm);
    \draw (-4,0) circle (1cm);
    \shade[ball color=blue!10!white,opacity=0.20] (-4,0) circle (1cm);

	\draw[-{Latex[length=3mm,width=3mm]}] (-4,1.2) .. controls (-3.5,2) and (-3,1)  .. (-1,.5);
	\draw  (-4,-1.5) node {$S^2$};
	\draw  (0,-1.5) node {$S^2$};
	\draw  (-3,1.5) node {$f$};
\end{tikzpicture}