Minimal Immersions of Kähler Manifolds into Euclidean Spaces
نویسنده
چکیده
We prove that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler manifold into an Euclidean space must be totally geodesic. As an application we show that an open subset of the real hyperbolic plane RH2 cannot be minimally immersed into the Euclidean space. As another application we prove that if an irreducible Kähler manifold is minimally immersed in an Euclidean space then its restricted holonomy group must be U(n), where n = dimCM .
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