Results 71 to 80 of about 867 (134)
Conformal invariants of Minkowski space [PDF]
Proceedings of the American Mathematical Society, 1985 The conformal invariant defined for compact Riemannian manifolds by Yamabe is generalized to pseudo-Riemannian manifolds and is shown to be nontrivial for Minkowski space. We also make some elementary remarks about generalizations of Yamabe’s equation to sections of vector bundles, as have been studied by physicists concerned with Goldstone bosons and ...
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Geometric properties of the Minkowski operator
Қарағанды университетінің хабаршысы. Математика сериясыThis article is about Minkowski difference of sets, which is one of the Minkowski operators. The necessary and sufficient conditions for the existence of the Minkowski difference of given regular polygons in the plane were derived. The method of finding
M.Sh. Mamatov +3 more
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On the new approach for the energy of elastica
Acta Scientiarum: Technology, 2018 In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41.
Talat Körpınar, Rıdvan Cem Demirkol
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Nursing Inquiry, Volume 33, Issue 3, July 2026.ABSTRACT Severe mental illness is frequently approached through nosological criteria focused on symptom severity, neglecting the complexity of lived experience. Phenomenology understands psychopathology not as an isolated biological dysfunction, but as a radical alteration in the structure of being‐in‐the‐world. Grounded in Merleau‐Ponty's ontology and
Rui Gomes, Patrícia Silva‐Pereira
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An elegant model of the geodesic flow on the modular surface
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
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Random Diophantine equations in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
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On Minkowski space and finite geometry
Journal of Combinatorial Theory, Series A, 2017 The main aim of this interdisciplinary paper is to characterize all maps on finite Minkowski space of arbitrary dimension $n$ that map pairs of distinct light-like events into pairs of distinct light-like events. Neither bijectivity of maps nor preservation of light-likeness in the opposite direction, i.e. from codomain to domain, is assumed.
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Time as a geometric property of space
Frontiers in Physics, 2016 The proper description of time remains a key unsolved problem in science. Newton conceived of time as absolute and universal which it `flows equably without relation to anything external'}.
James Michael Chappell +4 more
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Ruled Surfaces and Their Geometric Invariants via the Orthogonal Modified Frame in Minkowski 3-Space
MathematicsRuled 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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On closed curves in Minkowski spaces [PDF]
Proceedings of the American Mathematical Society, 1972 The minimum pseudo-diameter d and the length L of a simple closed rectifiable curve in Minkowski space satisfy L
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