Results 61 to 70 of about 13,985 (193)
Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami +2 more
wiley +1 more source
Differential equations and integral characterizations of timelike and spacelike spherical curves in the Minkowski space-time $E_1^4$ [PDF]
In this paper we give differential equations characterizing timelike andspacelike curves lying on hyperbolic sphere $H_0^3 $ and Lorentzian sphere$S_1^3 $ in the Minkowski space-time $E_1^4 $.
H. H. Ugurlu, M. Onder, T. Kahraman
doaj
A Note on Non-compact Cauchy surface
It is shown that if a space-time has non-compact Cauchy surface, then its topological, differentiable, and causal structure are completely determined by a class of compact subsets of its Cauchy surface.
Beem J K +10 more
core +1 more source
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Open and Closed Universes, Initial Singularities and Inflation
The existence of initial singularities in expanding universes is proved without assuming the timelike convergence condition. The assumptions made in the proof are ones likely to hold both in open universes and in many closed ones.
A. Borde +39 more
core +2 more sources
Abstract In this study, the properties, equilibrium, and stability of compact objects within the framework of teleparallel gravity with the generalized MIT bag model are investigated. By incorporating the modified field equations, the influence of the generalized bag constant on the structure and physical characteristics of quark stars and neutron ...
Sayantan Ghosh +2 more
wiley +1 more source
Evolutes of Hyperbolic Dual Spherical Curve in Dual Lorentzian 3-Space
Based on the E. Study's map, we study a timelike ruled surface as a curve on the hyperbolic dual unit sphere in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}$.
Rashad A. Abdel-Baky
doaj +2 more sources
ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE
: This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)).
Mustafa KAZAZ
doaj
Curves in the Lorentz-Minkowski plane with curvature depending on their position
Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propound the same question in the Lorentz-Minkowski plane, focusing on spacelike
Castro Ildefonso +2 more
doaj +1 more source
Moving frames and the characterization of curves that lie on a surface
In this work we are interested in the characterization of curves that belong to a given surface. To the best of our knowledge, there is no known general solution to this problem.
da Silva, Luiz C. B.
core +1 more source

