1. Establish a good mathematical foundation: Differential geometry involves many concepts and methods of advanced mathematics, so it is very important to establish a good mathematical foundation. These basic knowledge can be learned by reading textbooks, attending classes or watching online videos.
2. Read classic textbooks: There are many classic differential geometry textbooks that can help you better understand this field. For example, Chen Shengshen's Lectures on Differential Geometry and Liang Canbiao's Introduction to Differential Geometry and General Relativity are good choices.
3. Do more exercises: Doing exercises is an effective way to consolidate knowledge and improve problem-solving ability. You can choose exercises from textbooks or find related resources online.
4. Attend a discussion class or seminar: Attending a discussion class or seminar allows you to exchange ideas, share experiences and get inspiration from other learners. In addition, you can ask the teacher questions and get guidance.
5. Perseverance: It takes time and patience to learn differential geometry. Don't give up because of difficulties, keep learning and believe that you can master this subject.