v. dannon showed that spherical curves in e4 can be given by frenet-like equations, and he thengave an integral characterization for spherical curves in e4 . in this paper, lorentzian spherical timelike andspacelike curves in the space time 41 r are shown to be given by frenet-like equations of timelike andspacelike curves in the euclidean space e3 and the minkowski 3-space 31 r . thus, finding...

pseudo ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo ricci symmetric real hypersurfaces of the complex projective space cpn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.

In this work, we prove some new oscillation theorems for second-order neutral delay differential equations of the form (a(ξ)((v(ξ)+b(ξ)v(ϑ(ξ)))′))′+c(ξ)G1(v(κ(ξ)))+d(ξ)G2(v(ς(ξ)))=0 under canonical and non-canonical operators, that is, ∫ξ0∞dξa(ξ)=∞ ∫ξ0∞dξa(ξ)<∞. We use Riccati transformation to our main results. Furthermore, examples are provided show effectiveness feasibility

Given a prime power q and positive integer n, let Fqn denote the finite field with qn elements. Also a,b be arbitrary members of ground Fq. We investigate existence non-zero element ξ∈Fqn such that ξ+ξ−1 is primitive T(ξ)=a, T(ξ−1)=b, where T(ξ) denotes trace ξ in This was question intended to addressed by Cao Wang (2014). Their work dealt instead another problem already literature. Our solutio...

Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.

In order to solve general seventh-order ordinary differential equations (ODEs), this study will develop an implicit block method with three points of the form y(7)(ξ)=f(ξ,y(ξ),y′(ξ),y″(ξ),y‴(ξ),y(4)(ξ),y(5)(ξ),y(6)(ξ)) directly. The Hermite interpolation in (GIBM3P) has been derived initial value problems (IVPs) using basic functions interpolating polynomials. A multi-step is constructed be sui...