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Even if you have learned that there is no project manager on a Scrum project, that does not mean that there is no management, or especially, leadership on a Scrum project. This misconception was corrected in a discussion by Mike Cohn posted Aug 25, 2009 on InformIT. You can find that article at www.informit.com/articles/article.aspx?p=1382538.
Unlike the traditional command and control environment, management responsibility is now split among the three different components of the Scrum team: the ScrumMaster, the development team and the product owner. Although the ScrumMaster and the product owner do not directly manage the team, they are responsible for project reporting to the management of the business. This is true, according to Ken Schwaber in Agile Project Management with Scrum, even if we no longer report by tasks on a Scrum project but only by requirements.