Explain why not all leaders are managers and not all managers are leaders?

Leader = Manager + All other

Manager = Managerial Work

Thanks for invitation,

Since "The Leader" in fact, is  missing the formal authority of "The Manager", but he only have the acceptance of the team work members.

Whereas, "The Manager", is only have the formal authority, but he in fact, is messing the acceptance of the team work members as "The Leader".

You can configure the Manager

And You can not create commander

Dear,

Leadership , are inherent qualities and skills born with person , and it is not necessary this person turned to manager at the end of his-her journey , may be; employee, scientist, judge , but has mentioned qualities ( Do not forget formally Person in the formal position in an organization in top management  and has leadership qualities called LEADER)

Manager, An ordinary person has been promoted due to his-her achievements, activities,connections, but he-she has not required qualities to be Leader so he-she is not Leader

Regards

A manager is not always accepted by the team as beeing the person who deserves the position. Especially young managers or the outcomers in a company encounter this problem. The leader is the one accepted by the group.

Manager = job title

Leader = character trait

Leadership skills = something anybody can learn: some people are naturally better at this than others

Think of the past US election, Clinton ( not all leaders are managers), Trump (not all managers are leaders). Even in your company organization, it is all about politics.