I was assuming Min Variance Frontier and Efficient Frontier are the same thing , but QBank kindly pointed out I was wrong. Its difficult for me to visualize why or how they could be different . Could someone shed more light ?

Picture your typical efficient frontier which has a bulge in it. The point from the minimum variance portfolio (the left most point) and any portfolio along the line to the right of it is the efficient frontier. The minimum variance frontier includes all of the minimum variance portfolios.

duh , I forgot , thanks bpdulog. Min Variance is left most point on the eff. frontier , so because of the shape of the curve , it is the lowest return and lowest risk also