1. Preheat the oven to 375 degrees F (190 degrees C).

2. Cook the ground beef in a large skillet over medium heat until browned and cooked through. Drain any excess fat.

3. Add the canned chopped tomatoes to the skillet and stir to combine. Season with salt, pepper, and sugar to taste.

4. In a separate pot, cook the lasagna noodles according to package instructions. Drain and set aside.

5. Grease a 9x13 inch baking dish with cooking spray or butter.

6. Begin layering the lasagna in the prepared dish: start with a layer of noodles, followed by a layer of the ground beef and tomato mixture, then a layer of fresh mozzarella. Repeat this layering process until all ingredients are used up, ending with a final layer of mozzarella on top.

7. Drizzle heavy cream over the top of the lasagna.

8. Cover the baking dish with foil and bake for 25 minutes.

9. Remove the foil from the baking dish and continue baking for an additional 20-25 minutes, or until the cheese is melted and bubbly and the lasagna is heated through.

10. Let cool for a few minutes before serving.