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math.DG2011★ 1 cited
Parallel submanifolds of the real 2-Grassmannian
Tillmann Jentsch
A submanifold of a Riemannian symmetric space is called parallel if its second fundamental form is a parallel section of the appropriate tensor bundle. We classify parallel submani…
math.DG2011★ 6 cited
Extrinsic hyperspheres in manifolds with special holonomy
Tillmann Jentsch, Andrei Moroianu, Uwe Semmelmann
We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quate…