Do you care, as a manager, about what your employees think of you?

If employees think I am very good then I should care for this response to become better and do more to be called best.

If employees think I am bad then I have to look in my work why I made a bad picture in employees mind   so I will change myself for a better picture.

If employees speaking lie against me then I will never care and I will prove them from my attitude and actions that they were wrong in their thoughts.

If employees think I am best then I will do more hard work to maintain this best in my work.

If employees never say good or bad then I have to do more hard work and deal with the employees in nice way, call them by names, remember their faces, keep record of mobile numbers, appreciate their efforts so they start calling me a best manager in my absence, to whom they are loving and to whom they are very satisfied.

Yes I, always care about my employees's point of view about me..As a manager or human its my moral responsibiltiy to care and respect  them..they are my right hand they are so special for me...so I took much much much care about What they think about me? they are so valuable and precious for me.

Of course you have to, the evaluation and feedback is mutual from Manager to employee and vise versa

YES!

I care a lot about what those whom I manage think about me as their manager. If I don't care enough, I won't qualify as a (good) manager. Feedback from the managed is probably the most important feedback, a "people's manager" can have.

But even a good feedback or a survey can have distinction in "response quality"; there will always be those employees who vote fairly and others who vote "discriminately" guided by positive favoritism or negative emotions & personal drives.  

Since being a manager is only one aspect of my "whole me", I would probably care less for (without being careless of) what they think of me as a person, not because of apathy or arrogance, but because of my strong conviction that satisfying human tastes as a person is generally speaking much more difficult that satisfying those, within the demands of my function. 

Yes it is important to take feedback as that creates an opportunity for self development and learning.

Unfotunately no one from your employees will have encourage to tell you frankly what he thinks about you  especialy against your negative points  but as a manager you should understand from their reaction & productivity in answer to your instructions  , then change your policy accordingly 

Yes it is important, time to time must have feedback around the personality roles and they are my capital to grow up and give the sucsess for theier career  

Yes, I care for it very much. I want to work with a team who feels that their expectations are met and I am helping them succeed in their career goals. 

If my employees do not feel this way, then I need to change my management style.

Inorder to understand my employees I try to gather a360 degree feedback and also conduct skip level meetings from the HR team and my manager.

Feedback is very important and appreciating it is a clear sign of Leadership Skills.

..but feedback alone is not enough, what a leader needs to do is then communicate the reasons and thoughts behind his decisions.

Definitely Yes. One of the most important quality of a good Manager or Team lead or Project lead, is to discuss issues at hand and brain storm with the team members or sub-ordinates and then choose the best possible resolution for that issue.

A manager has to look at what the team thinks as they are the ones who actually handle the process and know every bits of it and can help the managers in improving the process productivity and efficiency.

Also, if the Manager ends up going forward with his own ideas and making changes to the process flow without prior discussion with the team members, can create wrong impressions in the minds of the members. Such steps can be taken by a Manager only if he has no other choice or the change is to be made by information received by higher management.

I know the importance of a manager to care of what the other members think, because I worked under a manager for a year, who never cared what his team members thought and how demotivated the team felt. 

Managers and team do have common goal of achieving company's goal from time to time. A team is assigned to a manager to ensure the targets are achieved by the organization. It is important that manager is aware of what his team members are thinking of him / her. This shall help the manager to change / modify the working style to achieve the organization's goal.