Linearizing submanifolds through tangent and tensor bundles. Global theorems and curvature properties. Foundations of smooth and Riemannian manifolds. Methods of moving frames and differential forms.
The lectures often present "simple" cases that serve as models for highly complex phenomena. Conclusion schoen yau lectures on differential geometry pdf new
Clarifying complex steps in previous proofs. Linearizing submanifolds through tangent and tensor bundles
