Harmonic manifolds

Project Level: Winter

Project Duration: 

4 Weeks. 

Description:

Harmonic manifolds is a classical research topic in Riemannian geometry. One of the main features of the topic is the lack of examples. The goal of this project is to study the non-symmetric examples of harmonic manifolds, gaining understanding as to why there are harmonic, with the hope of applying these methods in the future to construct new exotic examples.

Expected Outcomes:

The student will gain experience in dealing with cutting-edge research in pure mathematics.

Further Information:

This project is somewhat technical, so we would encourage students to contact Dr Ramiro Lafuente before applying.