A method comprises obtaining information characterizing multiple content streams comprising respective portions of content received from respective ones of a plurality of sources, obtaining positional information for the sources wherein the positional information indicates for each of the sources its current position in a set of possible positions relative to other ones of the sources, generating an additional content stream comprising selected portions of particular ones of the multiple content streams based at least in part on the positional information and a mapping between the content streams and the sources, and presenting the additional content stream to a user. The additional content stream may be generated so as to provide the user with a dynamic vantage point within a live event by switching between the selected portions of the particular ones of the multiple content streams, possibly as a function of input received from user equipment operated by the user.