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Twistor theory of manifolds with Grassmannian structures

Twistor theory of manifolds with Grassmannian structures

Abstract As a generalization of the conformal structure of type (2, 2), we study Grassmannian structures of type ( n, m ) for n, m ≥ 2. We develop their twistor theory by considering the complete integrability of the associated null distributions. The integrability corresponds to global solutions of the …