You can rename/move an object in the namespace, but you cannot remotely copy an object via the Atmos API (this is supported in S3 though).  The Atmos rename operation is specified in the Atmos Developer's Guide for 2.0 on page 113.  Basically it's POST /rest/namespace/{pathname}?rename with the new name in the x-emc-path header.
Hello,  I use the rest API to work with the cloud storage. All works, but i need to have support of copy/move operations. Is this possible?  I use the API described there ViPR 2.1 - EMC Atmos Object Service API Support
How to move/copy object with REST API