Registry in my father's and my name can I transfer whole in my name

Dear sir . My father bought a flat from army welfare housing org in Chandigarh. He paid for the flat with his own money . the flat was registered jointly in mine and my father's name and I paid the register y amount from my money . is there any way I can transfer my father's share in the flat to my name ? Or at least have some form of security . so that in the future my brother or anyone else who my father may favour , will not be able to lay a claim to the flat ? . FYI there is no mutation yet done .