Results 51 to 60 of about 402,535 (171)
Hyperbolic vacua in Minkowski space
Families of Lorentz, but not Poincare, invariant vacua are constructed for a massless scalar field in 4D Minkowski space. These are generalizations of the Rindler vacuum with a larger symmetry group. Explicit expressions are given as squeezed excitations
Walker Melton+3 more
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Spacelike helices in Minkowski 4-Space [PDF]
In this paper, we give some characterizations for spacelike helices in Minkowski space-time. We find the differential equations characterizing the spacelike helices and also give the integral characterizations for these curves in Minkowski space-time.
arxiv
Ruled Surfaces and Their Geometric Invariants via the Orthogonal Modified Frame in Minkowski 3-Space
Ruled surfaces in Minkowski 3-space play a crucial role in differential geometry and have significant applications in physics and engineering. This study explores the fundamental properties of ruled surfaces via orthogonal modified frame in Minkowski ...
Emad Solouma+2 more
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Electromagnetic waves along pseudo null curves in Minkowski space. [PDF]
Erdoğdu M.
europepmc +1 more source
Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter. [PDF]
Bigorgne L+4 more
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Cohomogeneity one actions on Minkowski spaces [PDF]
We study isometric cohomogeneity one actions on the (n+1)-dimensional Minkowski space up to orbit-equivalence. We give examples of isometric cohomogeneity one actions on the Minkowski space whose orbit spaces are non-Hausdorff. We show that there exist isometric cohomogeneity one actions on the Minkowski space which are orbit-equivalent on the ...
arxiv
On space-like generalized constant ratio hypersufaces in Minkowski spaces [PDF]
A hypersurface in a Euclidean space $\mathbb{E}^{n+1}$ is said to be a generalized constant ratio (GCR) hypersurface if the tangential part of its position vector is one of its principle directions. In this work, we move the study of generalized constant ratio hypersurfaces started in \cite% {YuFu2014GCRS} into the Minkowski space.
arxiv
We define the notion of weak Minkowski metric and prove some basic properties of such metrics. We also highlight some of the important analogies between Minkowski geometry and the Funk and Hilbert geometries.
arxiv
Tzitzeica-Type centro-affine invariants in Minkowski spaces
In this article we introduce three centro-affine invariant functions in Minkowski spaces. Tzitzeica curves and Tzitzeica surfaces may be defined in this new context.
Bobe Alexandru+2 more
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