Bloomberg posted a rather curios story today claiming that their sources say that Apple are planning to release two new phones in H2 2014. These phones will have larger displays (4.7" and 5.5") which will feature "glass that curves downward at the edges".
So this is rather strange. Perhaps they simply mean that the cover glass will curve downward at the edge of the phone, or it details a plastic OLED based phone that curves around the edges - like Samsung's prototype from CES 2013 (shown above) or SEL's recent OLED prototype shown last week. But then it won't have glass at all.
It's highly unlikely though that either Samsung or LGD will have enough flexible OLED capacity to supply an iPhone in 2014, anyway.