Relative pronoun omission (be + adj)

I knew some rules about relative pronoun and how to omit. e.g.

The teacher who teaches us. => The teacher teaching us.

The cup which was broken by my brother. => The cup broken by my brother.

But I want to know whether the relative pronoun of this phrase can be omitted?

"The man who is happy. => The man happy."

The reason I ask is that I saw a sentence "Kennedy is the person (who is) generous to everyone." on a website teaching how to use relative pronoun.

Solution 1:

The example may be rewritten Kennedy is generous to everyone. I'm not sure how this is meaningfully different from the other examples. The man who is happy becomes The happy man by the same process. Perhaps you are concerned about removing the only verb in a sentence fragment, but it's fragmentary regardless.