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- W2891960123 abstract "Orbits of $SU(ell, m)$ in a Grassmannian manifold have homogeneous CR structures. In this paper, we study germs of smooth CR mappings sending a closed orbit of $SU(ell,m)$ into a closed orbit of $SU(ell',m')$ in Grassmannian manifolds. We show that if the signature difference of the Levi forms of two orbits is not too large, then the mapping can be factored into a simple form and one of the factors extends to a totally geodesic embedding of the ambient Grassmannian into another Grassmannian with respect to the standard metric. As an application, we give a sufficient condition for a smooth CR mapping sending a closed orbit of $SU(ell,m)$ into a closed orbit of $SU(ell',m')$ in Grassmannian manifolds to extend as a totally geodesic embedding of the Grassmannian into another Grassmannian." @default.
- W2891960123 created "2018-09-27" @default.
- W2891960123 creator A5058547728 @default.
- W2891960123 date "2018-09-06" @default.
- W2891960123 modified "2023-09-27" @default.
- W2891960123 title "Holomorphic maps between closed SU(l,m)-orbits in Grassmannian" @default.
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