Results 61 to 70 of about 783,588 (168)

On the slant helices according to bishop frame of the timelike curve in Lorentzian space

open access: yes, 2008
T.Ikawa obtained the following differential equation DTD TDTT - KDTT, K = ?2 - ?2 for the circular helix which corresponds the case that the curvature ? and torsion ? of timelike curve ? on the Lorentzian manifold M1 are constant [5].
Bukcu B., Karacan, Murat Kemal
core   +1 more source

Study of η‐Ricci–Yamabe Solitons and Ricci–Yamabe solitons in a Lorentzian Nearly Kähler Space‐Time Manifold

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
An η‐Ricci–Yamabe solitons is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine η‐Ricci–Yamabe solitons and Ricci–Yamabe solitons on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi   +3 more
wiley   +1 more source

Closed timelike geodesics

open access: yes, 1984
It is shown that every stable free t t -homotopy class of closed timelike curves in a compact Lorentzian manifold contains a longest curve which must be a closed timelike geodesic.
Galloway, Gregory J   +1 more
core   +1 more source

Dynamics of geodesics around the Bardeen-AdS black hole immersed in quintessence

open access: yesResults in Physics
This paper investigates the dynamics of the timelike and null geodesics near the Bardeen-AdS black hole immersed in quintessence. Specifically, the equation of geodesic motion is derived by solving the Hamilton–Jacobi equation of the test particles ...
Ruifang Wang, Fabao Gao, Jianwen Liu
doaj   +1 more source

Osculating curves in 4-dimensional semi-Euclidean space with index 2

open access: yesOpen Mathematics, 2017
In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves.
İlarslan Kazim   +2 more
doaj   +1 more source

Characterization of (k, m)‐Type Slant Helices Using the Modified Orthogonal Frame in Minkowski 3‐Space

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Within the scope of differential geometry, exploring how curves relate to each other has long been a broad area of study for many scholars. When investigating curves, particularly space curves, the concept of frame fields, such as the Frenet–Serret frame, proves invaluable.
Md Ajmal Khan   +5 more
wiley   +1 more source

ON THE DUAL BISHOP DARBOUX ROTATION AXIS OF THE DUAL TIMELIKE SPACE CURVE

open access: yes, 2008
In this paper, the Dual Bishop darboux rotation axis for dual timelike space curve in the semi-dual space  is decomposed in two simultaneous rotation. The axes of these simultaneous rotations are joined by a simple mechanism. 
YÜKSEL, Nural   +2 more
core   +2 more sources

Ruled Surfaces with Constant Slope Ruling According to Darboux Frame in Minkowski Space

open access: yesInternational Journal of Analysis and Applications, 2020
In this study, three different types of ruled surfaces are defined. The generating lines of these ruled surfaces are given by points on a curve X in Minkowski Space, while the position vector of X have constant slope with respect to the planes (t, y), (t,
Ayşe Yavuz, Yusuf Yayli
doaj  

Generalized Conharmonically Recurrent Pseudo‐Riemannian Manifolds and Their Applications to f (R)‐Gravity

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper studies generalized conharmonically recurrent pseudo‐Riemannian manifolds and their geometric and physical implications, with particular attention to applications in f(R)‐gravity. Explicit relations are established among the conharmonic, Riemann, Ricci, Weyl conformal, and Schouten curvature tensors.
Awatif Al-Jedani   +5 more
wiley   +1 more source

Testing a quantum motivated effective black hole geometry with photon ring and orbital diagnostics

open access: yesPhysics Letters B
We analyze a one parameter static spherical deformation of Schwarzschild containing an r − 3 term. This term is treated as a quantum motivated effective template rather than a unique microscopic prediction, while the factor 256 π in the alternative ...
K. Ghaderi   +2 more
doaj   +1 more source

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