A lot of my friends are on the Ketogenic diet.
I've heard that it forces the body to burn fats rather than carbohydrates, do they have good results with Keto Diet?
I don't really know for sure. Two of them just started.
its a high-fat, adequate-protein, low-carbohydrate diet, used in medicine to treat epilepsy, but people use it to burn fat, 
I do not eat meat so it would not work very well for me.
It would be hard for you then, an elevated level of ketone bodies in the blood when you are on this diet, thats why its called Kato Diet
I do not really like any trendy diets anyway. I like to be able to eat what I want.
Vegetarianism
Vegetarianism is the practice of abstaining from the consumption of meat (red meat, poultry, seafood, and the flesh of any other animal), and may also include abstention from by-products of animals processed for food.
Vegetarianism may be adopted for various reasons. Many people object to eating meat out of respect for sentient life. Such ethical motivations have been codified under various religious beliefs, as well as animal rights advocacy. Other motivations for vegetarianism are health-related, political, environmental, cultural,
Ketogenic diet
The ketogenic diet is a high-fat, adequate-protein, low-carbohydrate diet that in medicine is used primarily to treat difficult-to-control (refractory) epilepsy in children. The diet forces the body to burn fats rather than carbohydrates. Normally, the carbohydrates contained in food are converted into glucose, which is then transported around the body and is particularly important in fueling brain function. However, if little carbohydrate remains in the diet, the liver converts fat into fatty acids and ketone bodies