Results 81 to 90 of about 13,955 (195)
Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The aim of this paper is to investigate properties of non‐Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular
Xinyu Yao, Haiming Liu, Shikha Binwal
wiley +1 more source
A non‐Newtonian perspective on multiplicative Lorentz–Minkowski space 𝕃∗3
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13875-13888, December 2024.This study focuses on redesigned the Lorentz–Minkowski space, great importance in both physics and geometry, by employing multiplicative metric concepts (angle, norm, distance etc.). The impact of multiplicative arguments on the Lorentz‐Minkowski space has been elucidated, showcasing how multiplicative vectors, subspaces, and planes exhibit ...
Aykut Has +2 more
wiley +1 more source
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new
Simone Murro, Gabriel Schmid
wiley +1 more source
On curvature bounds in Lorentzian length spaces
Journal of the London Mathematical Society, Volume 110, Issue 2, August 2024.Abstract We introduce several new notions of (sectional) curvature bounds for Lorentzian pre‐length spaces: On the one hand, we provide convexity/concavity conditions for the (modified) time separation function, and, on the other hand, we study four‐point conditions, which are suitable also for the non‐intrinsic setting. Via these concepts, we are able
Tobias Beran +2 more
wiley +1 more source
Noûs, Volume 58, Issue 1, Page 202-224, March 2024.Abstract We develop a new version of the causal theory of spacetime. Whereas traditional versions of the theory seek to identify spatiotemporal relations with causal relations, the version we develop takes causal relations to be the grounds for spatiotemporal relations. Causation is thus distinct from, and more basic than, spacetime. We argue that this
Sam Baron, Baptiste Le Bihan
wiley +1 more source
Evolutionary Algorithms for Multi‐Center Solutions
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract Large classes of multi‐center supergravity solutions have been constructed in the study of supersymmetric black holes and their microstates. Many smooth multi‐center solutions have the same charges as supersymmetric black holes, with all centers deep inside a long black‐hole‐like throat.
Sami Rawash, David Turton
wiley +1 more source
Osculating curves in 4-dimensional semi-Euclidean space with index 2
Open 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
The inverse kinematics of rolling contact of timelike curves lying on timelike surfaces
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019 Summary: Rolling contact between two surfaces plays an important role in robotics and engineering such as spherical robots, single wheel robots, and multi-fingered robotic hands to drive a moving surface on a fixed surface. The rolling contact pairs have one, two, or three degrees of freedom (DOFs) consisting of angular velocity components.
Aydınalp, Mehmet +2 more
openaire +5 more sources
Lamarle Formula in 3-Dimensional Lorentz Space [PDF]
, 2010 The Lamarle Formula, given by Kruppa in \cite{Kr}, is known as a relationship between the Gaussian curvature and the distribution parameter of a ruled surface in the surface theory. The ruled surfaces were investigated in 3 different classes with respect
Ersoy, Soley, Tosun, Murat
core +2 more sources
On the causal properties of warped product spacetimes
, 2007 It is shown that the warped product spacetime P=M *_f H, where H is a complete Riemannian manifold, and the original spacetime M share necessarily the same causality properties, the only exceptions being the properties of causal continuity and causal ...
Avez A +14 more
core +1 more source