4 papers · 1 filter
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…
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…
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…
CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator
Mirjana Milijevic
Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field ξ is recurrent if there exists a 1-form v such t…