Syllabus
Gradient, divergence, Laplace operator and its spectrum, harmonic functions and forms, homogeneous Riemannian spaces, other topics can be chosen to meet interests of students.
Annotation
In Part 2 the knowledge about Riemannian geometry is extended, e.g.,by the following topics: Gradient, Divergence, Laplacian, Harmonic functions, Hopf Lemma, Spectrum of the Laplacian, Homogeneous Riemannian manifolds, Symmetric spaces.