Srividya,
Welcome to the TI E2E forum. I hope you will find many good answers here and in the TI.com documents and in the TI Wiki Pages. Be sure to search those for helpful information and to browse for the questions others may have asked on similar topics.
Thee are many forums within E2E. Questions on device hardware are worked within this C6000 Single Core DSP forum, and there is a Code Composer forum and a TI-RTOS forum. Multi-threading is a feature of the TI-RTOS, so a Moderator will move this thread to the TI-RTOS forum for the best comments.
TI-RTOS does support multi-threading. TI-RTOS is a single-process, multi-thread O/S, supporting tasks, software interrupts, hardware interrupts, and idle-time routines.
Regards,
RandyP