In a saucepan, beat the yogurt and garlic for 5 minutes. Keep warm over low heat.
In a large skillet, heat the oil over medium-low heat. Break each egg into the skillet. Sprinkle with salt and pepper. Cook for about 1 minute until whites begin to set. Cover and cook over medium-low heat for about 2 to 4 minutes until you have gentle whites and creamy yolks.