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math.SG2024
Symplectic structures preserved by geodesic symmetries
Pierre Bieliavsky, Maxime Willaert
Answering a conjecture by S. Kobayashi, in 1986, K. Sekigawa and L. Vanhecke proved that an almost hermitian manifold whose local geodesic symmetries preserve the Kähler 2-form is…
math.SG2005
Symplectic connections
Pierre Bieliavsky, Michel Cahen, Simone Gutt +2
This article is an overview of the results obtained in recent years on symplectic connections. We present what is known about preferred connections (critical points of a variationa…