In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in Lorentzian settings. Several inequalities characterizing obtained. These also investigated space forms.

Abstract We report a novel glycan array architecture that binds the mannose‐specific binding protein, concanavalin A (ConA), with sub‐femtomolar avidity. new radical photopolymerization developed specifically for this application combines grafted‐from thiol–(meth)acrylate polymerization thiol–ene chemistry to graft glycans growing polymer brushes. The propagation of brushes was studied by carry...

We initiate a systematic local study of singular Levi-flat real analytic hypersurfaces, concentrating on the simplest nontrivial case of quadratic singularities. We classify the possible tangent cones to such hypersurfaces and prove the existence and convergence of a rigid normal form in the case of generic (Morse) singularities. We also characterize when such a hypersurface is defined by the v...

In this short communication, we announce results from our research on the structure of complete noncompact oriented weakly stable minimal hypersurfaces in a manifold of nonnegative sectional curvature. In particular, a complete oriented weakly stable minimal hypersurface in Rm, m > or = 4, must have only one end; any complete noncompact oriented weakly stable minimal hypersurface has only one e...