Seminář z diferenciální geometrie - 8.10.2018

Seminář se koná 8.10.2018 od 10.00 do 12 hod. v posluchárně M5 Ústavu matematiky a statistiky, PřF MU, budova č. 8, Kotlářská 2.

#### Katharina Neusser:

C-projective equivalence in Kähler geometry

Abstract:
While a projective structure on a manifold is given by a class of affine connections that have the same (unparametrised) geodesics, a c-projective structure on a complex manifold is given by a class of affine complex connections that have the same J-planar'' curves. In this talk we will be mainly concerned with c-projective structures induced by Kähler metrics (via their Levi-Civita connections). We will present some work on the geometric and topological consequences of the existence of at least two c-projectively equivalent Kähler metrics, and on c-projective automorphism groups of Kähler manifolds. This talk is based on joint work with Calderbank--Eastwood--Matveev, and with Matveev.

I will try to balance the talk well so that those, who are unfamiliar with the topic, can follow well, but I also want to use the opportunity to give some more details about the proofs for those, who are and have already heard some short talks by me on the topic.

Aktualizováno Středa, 03 Říjen 2018 14:54