MAT 645 
Topics in Differential Geometry 
Spring 2018 

TΘ 11:30-12:50
Physics P-122


Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TΘ 2:00--3:30 pm.


Twistor Methods in Differential Geometry II

This is the second semester of a year-long course on twistor correspondences in Riemannian and pseudo-Riemannian geometry. We will now see how techniques similar to those explored last semester can also shed light on Riemannian metrics of special holonomy, manifolds whose geodesics are all closed, and the Einstein-Weyl equations in Lorentz signature.

The class will not meet on Feb. 6 and 8, because the professor will be speaking at a conference in New Zealand.

A good understanding of last semester's lectures would be helpful, but may not be absolutely necessary. On the other hand, the lectures will certainly presuppose some basic knowledge of Riemannian geometry and complex manifold theory, and students without this sort of background may not be able to follow the discussion.

Grades will be based upon attendance and class participation.


The Professor may be reach by e-mail by .
This is the best method for making appointments outside normal office hours.


Illustration: Ruling lines on a quadric surface.


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