What Is Product Management Leadership?
Positive Influence: You have to care and you have to ensure that it is visible that you care, or no one else will. That includes your team, other teams that work with your team, and most importantly your users.
You roll out a system, let's say a CRM system. Why do people care? They have their old school methods that are working juuust fine, so why change? They give your application a shot, because when you introduce yourself and pitch your product they: 1. See your enthusiasm 2. Your well prepared assessment of their needs and 3. Most importantly they see that you care, and think maybe I should also care or "This person might be onto something that could help me with XYZ problem".
Vision: Express Your Product In Plain English (or native language of your choice) To Your Key Stakeholders (and for that matter, everyone else).
Buy-in is tough. Especially at the C-Suite / Senior Management level of any organization. Walk in with your vision, keep it short and sweet, and always bring a vision of the future state via POC, mockups, whatever works for you. These leaders get pitched all day, internally, externally, backwards and sideways. They have five minutes for you, make it count and make sure you are approaching with WIIFM (What's In It For Me) from their perspective all the way. It's not hard to get buy-in when you present a compelling, short, and well articulated case. This shouldn't need to be said, but ensure you KNOW THEIR BUSINESS, and if you don't, read books on it, keep up with industry news, and ask questions about their business to mentors & advisors that you trust well before your meeting.
What happens when you enter prepared, CRUSH IT, and they still shoot you down after your five minute pitch? Write down every single word as this will probably be the best product feedback that you will get from anyone.
Leading at this level is your most important step to driving product visibility, usage, future funding, and overall success.
Lead With Trust and Integrity: Meet your deadlines, engender trust, and engage your stakeholders and users if issues enter the fold. Additionally, be sure to share your successes amongst your teammates and give credit where credit is due! No Product Team is an island. You are only as good as your team, stakeholders, and helpful users (giving productive feedback, good or bad) that support you and your product!
There is much more to Product Management Leadership, but this is what jumped at me presently. Please do add your insights into the comments!