Eclipse can't find jdk installed with sdkman

Im new with sdkman, but i manage to install it and install some sofware with it, jdk, gradle and a few others, the problem is that after i download eclipse and try to run it, it just simple cant find the jdk. I have already export JAVA_HOME, and PATH. In fact, i can actually run java, javac and others java commands from the terminal, I even try with update-alternatives, i have changed the ownership of the eclipse folder with no results, eclipse cannot find the jdk.

I had to install java with apt-get and that makes eclipse work, but whats the of using sdkman. so my question is: What configuration i'm missing to make eclipse use the sdkman java installation.

P.D: Sorry for my english.