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Special metrics in Hermitian Geometry

Topology Seminar
November 16, 2021
1:50 pm - 2:50 pm
Zoom

Title:  Special metrics in Hermitian Geometry

Speaker:  Mehdi Lejmi (CUNY)

Abstract:  On an almost-Hermitian manifold, the Chern connection connection is the unique connection preserving the almost-Hermitian structure and having J-anti-invariant torsion. It had the property that its (0,1)-part corresponds to the Cauchy-Riemann operator. In this talk, I will discuss the difference between the Chern scalar curvature and the Riemannian scalar curvature induced by the Levi-Civita connection. Then I will discuss the existence of some almost-Hermitian metrics and an analogue of the Yamabe problem for the Chern scalar curvature.

https://osu.zoom.us/j/93661626526?pwd=b2xiSEJSTm9BRVlRSitOZXVkMVMzZz09

Zoom ID:  936 6162 6526, Password: 273789

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