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The boundary behaviour of the left-invariant Hitchin and hypo flow

Marco Freibert
(Aarhus University)
Onsdag, 11 marts, 2015, at 15:15-16:15, in Aud. D3 (1531-215)
The hypo and the Hitchin flows are systems of 1st order pdes for 1-parameter families of certain types of G-structures on 5-, 6- or 7-dimensional manifolds M whose solution on an open interval I defines a Ricci-flat Riemannian metric g on $M\times I$ with holonomy contained in SU(3), G2 or Spin(7), respectively. $(M\times I,g)$ is not complete unless I is the entire real line but then it splits as a Riemannian manifold. In this talk, I present some joint work with F. Belgun, V. Cortés and O. Goertsches on the question of extending in a natural way the Riemannian manifold $(H\times I,g)$ obtained by the hypo/Hitchin flow with left-invariant initial value on a Lie group H at the boundary $\partial I$ to a complete Riemannian manifold.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen