When will the Chern connection of a Hermitian manifold have parallel torsion and curvature?

Abstract: This talk is a based on joint work with Prof. Lei Ni at UCSD. We consider a special type of compact, locally homogeneous Hermitian manifolds, where Chern connection is Ambrose-Singer, namely having parallel torsion and curvature. We will also discuss the Bismut case, where some partial answers were obtained and some open questions were proposed.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

( video )

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, fill the following form: docs.google.com/forms/d/e/1FAIpQLSdKrJ-nivgjr7ZVJmIY0qkN-VbzTl5NHHNyg6nNsCqjhB-4WA/viewform?usp=sf_link.

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