Fiddling a little more, I tried making a symbolic link /lib/ld-linux.so.2 that pointed to /lib64/ld-linux-x86-64.so.2 and that, unsurprisingly, did not work.
I then installed the Sun Java JDK, but I am still getting issues with starting QM because the variables JAVA_HOME, JRE_HOME, and CATALINA_HOME are not populated. I'm sure that I could define those, export them, and make it work, but I'd prefer to have a stock install if that's possible, so I'm going to wait. Please let me know if that's a likely possibility.
Tom