Following steps is to be done to install tomcat server on Fedora PC. I have used core 14, but the steps should be pretty much same for other Fedora versions.
1) Download latest Tomcat server from the websitewget http://mirror.nexcess.net/apache/tomcat/tomcat-7/v7.0.41/bin/apache-tomcat-7.0.41.tar.gz
export JAVA_HOME=/usr/java/jdk1.6.0_23
export CATALINA_HOME=/home/user1/apache-tomcat-7.0.41
$CATALINA_HOME/bin/startup.sh
http://localhost:8080/