数学科学研究所
Insitute of Mathematical Science

Colloqium:Geodesics in the Space of Closed G_2-Structures

Seminar| Institute of Mathematical Sciences

Time: Wednesday, March 12th, 2025,16:00-17:00

LocationIMS, RS408

Speaker:Kai Zheng,University of Chinese Academy of Sciences


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.

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