Thinly slice the kohlrabi by hand or with a food processor.
Heat the butter in a large, heavy skillet over medium heat, add the kohlrabi, garlic, thyme, paprika, and caraway, and fry for 10 minutes, or until the kohlrabi is tender. Season with salt and pepper.
Butter a baking dish. In a bowl, beat the eggs with the cream and add two-thirds of the crumbled cheese.
Add the kohlrabi mixture from the pan and stir well. Scoop into the prepared baking dish and spread the kohlrabi out evenly. Sprinkle with the remaining feta.
This can go straight into the oven, or you can prepare it a few hours in advance. In that case, refrigerate until ready to bake.
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