AbstractFollowing a brief introduction to complex manifolds, the course will explore connections between general relativity, the Einstein equation,and complex geometry. Among the topics I would like to cover are manifestations of Kähler and Hermitian geometry in general relativity, as well as twistor theory and its applications in general relativity and field theory. The course will be accessib...
PrerequisiteGraduate level knowledge in differential geometry and in Riemannian geometry, and basic knowledge in partial differential equations and analysis.IntroductionThis is an introductory course to mathematical General Relativity from the point of view of differential geometry and partial differential equations. The goal of this course is to provide an understanding of the Cauchy problem o...