CHEN IDEAL KAEHLER HYPERSURFACES

Hopf hypersurfaces in nearly Kaehler 6-sphere

We obtain a characterization for a compact Hopf hypersurface in the nearly Kaehler sphere S using a pinching on the scalar curvature of the hypersurface. It has been also observed that the totally geodesic sphere S in S has induced Sasakian structure as a hypersurface of the nearly Kaehler sphere S. M.S.C. 2000: 53C20, 53C45.

Some Submersions of Cr-hypersurfaces of Kaehler-einstein Manifold

The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein man-ifold˜M are studied. If M is an extrinsic CR-hypersurface of˜M, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold. 1. Introduction. The study of the Riemannian submersions π : M → B was initiated by O'Neill [14] and Gray [9]. This theory was very much developed in the last thirty...

Lecture on Kaehler manifolds

Relativistic particles with rigidity generating non-standard examples of Willmore–Chen hypersurfaces

We study a natural extension to higher dimensions of the Nambu–Goto– Polyakov action. In particular, those dynamical objects evolving with SO(3) symmetry in four dimensions. We show that this problem is strongly related to that of relativistic particles with rigidity of order three in a hyperbolic plane. The moduli space of solitonic solutions is completely determined in terms of the so-called ...

Computational Aspects of Ideal ( t , n ) - Threshold Scheme of Chen , Laing , and Martin

In CANS 2016, Chen, Laing, and Martin proposed an ideal (t, n)-threshold secret sharing scheme (the CLM scheme) based on random linear code. However, in this paper we show that this scheme is similar to the one proposed by Karnin, Greene, and Hellman in 1983 (the KGH scheme). Further, the authors did not analyzed memory or XOR operations required to either store or calculate an inverse matrix n...