Some remarks about cosymplectic metrics on maximal flag manifolds [chapter]

Marlio Paredes, Sofia Pinzón, Hernan Ocampo, Eddy Pariguan, Sylvie Paycha
Geometric and Topological Methods for Quantum Field Theory  
Using moving frames we obtain a formula to calculate the codifferential of the Kähler form on a maximal flag manifold. We use this formula to obtain some differential type conditions so that a metric on the classical maximal flag manifold be cosymplectic.
doi:10.1017/cbo9780511712135.013 fatcat:rsquqxetl5ce7cib66iwyuj4vu