Moment Norm Gradient Flow on Flag Manifolds
نویسنده
چکیده
A geometric proof of the Matsuki orbit duality for flag manifolds is established in [2] by analyzing the gradient flow of the normsquared of a moment map. In the present paper, we investigate explicit formulas for integral curves associated with this flow, leading to a correspondence between certain integral curves and Cayley transforms. In addition, an exhaustive collection of curves is presented in the rank one hermitian symmetric case.
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