2 problems
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Extrinsic Berger conjecture for complex submanifolds of projective space
Let be a complete, connected, and full complex submanifold, meaning that it is not contained in a proper hyperplane. Suppose its normal holonomy g…
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Olmos's normal holonomy conjecture for homogeneous submanifolds
Let , , be a full irreducible homogeneous submanifold of the sphere. Its normal holonomy is called non-transitive when its action on the unit normal sphere is not tra…