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.

DOI

10.3906/mat-0810-19

Keywords

Codifferential, Kähler form, flag manifolds, differential forms.

First Page

305

Last Page

316

Recommended Citation

PAREDES, M, & PINZON, S (2010). On the codifferential of the Kähler form and cosymplectic metrics on maximal flag manifolds. Turkish Journal of Mathematics 34 (3): 305-316. https://doi.org/10.3906/mat-0810-19

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