Moving a topic from one folder to another folder in RH 2019 project

I haven't used source control in a long time and never GIT, but perhaps these ideas might help in future.

Was the topic checked out before you dragged it to a new folder? If not, perhaps in future try checking the topic out before moving it.

If the topic was already checked, perhaps check out the entire project first, then move the topic.

My thinking with these suggestions is that there is some slowness in communicating between your computer and the GIT server, and some process is timing out, causing the failure. Checking everything out should remove any network issues that could be causing problems.

For the existing broken links, I would recommend reverting to your previous check-in (before the move) assuming you checked in recently and won't lose too many other changes, and try my suggestions above. Otherwise, I think you'll have to run the broken links report and manually fix all the references to the search.htm topic.

"The topic is moved to the required folder but the links on this page are not updated."

Correction: 

The topic is moved to the required folder but the links of this topic on the other topics of the project are not updated.