@Hassan You stumbled upon a rather weird instance of German grammar/vocabulary, that would make for an interesting question. In brief, if a (usually) intransitive verb (such as fallen, auslaufen, zerbrechen) is used to indicate some usually unfortunate event happening to something (usually an item), the dative can be used to indicate to which person this unfortunate event happens.

For example:

> Der Krug zerbrach ihm. → The jug broke and this happened to him. → He broke the jug.

So in your example, "ihm" would correspond to "vom Gesicht" in the lyric?

@Wrzlprmft btw i did post a question: german.stackexchange.com/questions/24822/…

@Hassan No, ihm would correspond to dem Himmel, see my answer to your question.