E! says that the 'Only Girl (In The World)' singer and boyfriend Matt Kemp were invited to the lavish Indian ceremony, but did not attend.
A source close to baseball player Kemp told the network that the couple's absence was down to "a last-minute change of plans" which created a conflict in Rihanna's work schedule.
The insider explained: "He was telling me [last] Saturday that he was leaving the country for a week with Rihanna. But then on Tuesday, he told me they weren't going."
Rihanna was rumoured to be Perry's maid of honour, and previously hosted a Las Vegas bachelorette party for the 'Teenage Dream' performer.
A spokesperson for Rihanna did not comment on the reports.
