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math.DG2026
Gauge-compatible tensors on statistical manifolds: splitting and submanifold geometry
Mirjana Milijevic, Luis P. Yapu
We study statistical manifolds endowed with a nonzero -tensor field satisfying the gauge equation \[ \nabla_X(ΘY)=Θ(\nabla_X^{*}Y). \] We first…
math.DG2010
Geometry of CR submanifolds of maximal CR dimension in complex space forms
Mirjana Milijevic
On real hypersurfaces in complex space forms many results are proven. In this paper we generalize some results concerning extrinsic geometry of real hypersurfaces, to CR submanifol…
math.DG2010
Non-existence of CR submanifolds of maximal CR dimension satisfying RA = 0 in non-flat complex space forms
Mirjana Milijevic
It has been proved that there are no real hypersurfaces satisfying RA = 0 in non-flat complex space forms. In this paper we prove that the same is true in the case of CR submanifol…