18.966 | Spring 2007 | Graduate

Geometry of Manifolds

Lecture Notes

lect15.pdf

Description:

Lecture notes on Hodge * operator on a Riemannian manifold; d* operator; Laplacian, harmonic forms; Hodge decomposition theorem; differential operators; symbol, ellipticity; existence of parametrix.

Resource Type:
Lecture Notes

Course Info

Instructor
Departments
As Taught In
Spring 2007
Level
Learning Resource Types
Problem Sets with Solutions
Lecture Notes