On the codifferential of the Kähler form and cosymplectic metrics on maximal flag manifolds

Authors: MARLIO PAREDES, SOFIA PINZON

Abstract: 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.

Keywords: Codifferential, Kähler form, flag manifolds, differential forms.

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