Homogeneous affine hypersurfaces with rank one shape operators.
Semi-parallelity, multi-roation surfaces and the helix-property.
The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces.
On an inequality of Oprea for Lagrangian submanifolds
We show that a Lagrangian submanifold of a complex space form attaining equality in the inequality obtained by Oprea in [8], must be totally geodesic.
Improper affine spheres and δ-invariants
We introduce an inequality for graph hypersurfaces and prove a decomposition theorem in case equality holds.
Quadric hypersurfaces of finite type
Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces
We give a complete classification of surfaces with parallel second fundamental form in 3-dimensional Bianchi-Cartan-Vranceanu spaces.
Submanifold theory and parallel transport
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