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## Augustin Banyaga: Non- existence of certain Einstein metrics on some symplectic manifolds

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Venue: | AHC3 Room 205 |

Augustin Banyaga, Penn State

Non- existence of certain Einstein metrics on some symplectic manifolds

Abstract: We exhibit a necessary and sufficient condition for a symplectic manifold $(M, \omega)$ to admit an $\omega$- compatible Einstein metric. This research was motivated by the Goldberg conjecture asserting that a compact symplectic manifold $(M,\omega)$ with an $\omega$- compatible Einstein metric is Kaehler. This is a joint work with F. Massamba.

Biosketch: Augustin Banyaga is a Professor of Mathematics at Penn State University, University Park. His research areas are in Symplectic, Contact Geometry and Topology, and Morse Theory ( Morse Homology, Morse-Bott homology). Lately he has worked on the foundations of the $C^0$ symplectic Topology and the Hofer Geometry. Augustin Banyaga is a Fellow of the African Academy of Sciences