Title: Geodesics in the space of closed G_2-structures
Speaker: Professor Zheng Kai, University of Chinese Academy of Sciences (UCAS)
Host: Yao Chengjian
Venue: Room S408, SCA
Abstract:
The space of closed G_2-structures in a given cohomology class is an infinite-dimensional space. In order to analyze the variational structures of torsion free G_2-structures, we will present an construction of the Levi-Civita connection in this infinite-dimensional space and properties of the corresponding geodesics.