The approach of the paper is on spacelike circular surfaces in Minkowski 3-space. A surface a one-parameter family Lorentzian circles with fixed radius regarding non-null curve, which acts as spine and it has symmetrical properties. In study, we have parametrized provided their geometric singularity properties such Gaussian mean curvatures, comparing them those ruled classification singularitie...

The classical Minkowski inequality in the Euclidean space provides a lower bound on total mean curvature of hypersurface terms surface area, which is optimal round spheres. In this paper we employ locally constrained inverse flow to prove properly defined analogue Lorentzian de Sitter space.

In this paper we consider two notions that have been discovered and rediscovered by geometers and analysts since 1917 up to the present day. The first is that of a Radon curve, introduced by Radon in 1917 [50]. It is a special kind of centrally symmetric closed convex curve in the plane. Any centrally symmetric closed convex curve in the plane defines a norm turning the plane into a two-dimensi...

The isometries of AdS 5 space and supersymmetric AdS 5 ⊗ S 1 space are non-linearly realized on four dimensional Minkowski space. The resultant effective actions in terms of the Nambu-Goldstone modes are constructed. The dilatonic mode governing the motion of the Minkowski space probe brane into the co-volume of supersymmetric AdS 5 space is found to be unstable and the bulk of the AdS 5 space ...

We propose a way of bosonizing free world-sheet fermions for 4-dimensional heterotic string theory formulated in Minkowski space-time. We discuss the differences as compared to the standard bosonization performed in Euclidean space-time. † Supported by EU grant no. ERBCHBGCT920179. ‡ Supported by the Carlsberg Foundation. 1. In the Neveu-Schwarz-Ramond approach to superstring theory [1] any mod...

This paper extends some results for the weighted Moore–Penrose inverse A+M,N in Hilbert space to the so-called weighted Minkowski inverse A⊕M,N of an arbitrary rectangular matrix A ∈ Mm,n in Minkowski spaces μ. Four methods are also used for approximating the weighted Minkowski Inverse A⊕M,N . These methods are: Borel summable, Euler–Knopp summable, Newton–Raphson and Tikhonov’s methods. c © 20...

In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.

We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. compute first and second fundamental form matrices, Gauss map, shape operator matrix of hypersurface. Additionally, we curvatures by using Cayley–Hamilton theorem. Moreover, give some relations for mean Gauss–Kronecker Finally, obtain Laplace–Beltrami