Should I have stiches on a 1cm open cut eyebrow?

I'm in India, and I hit my eyebrow against a shower knob. It made about a 1cm long cut on my left eyebrow. The cut is maybe only about a millimeter or less deep. Getting stitches in an Indian hospital seemed counterproductive and seeming that the cut was small we opted to use band-aid tape to hold it together. I cleaned it with anti-bacterial hand sanitizer (best available option at hand) then applied iodine for a few minutes, then cleaned it again and then I bandaged it with the sticky part of the band-aid cutting off the soft portion and just using the sticky part to hold it together. My hope was this would be effective enough to hold the skin together. Seems that when I pressed both sides of the cut it would stay together momentarily, so that is why we taped it with the band-aid gause. What do you think? Not sure I need stitches for this cut, but tell me if I'm wrong please. Also, don't stitches cause more scarring? What is the best I can do given my current environment? I incurred the cut about 24hrs ago. thank you so much for your reply