Rotations on a Lightcone in Minkowski 3-Space
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-017-0771-5
Abstract: In this paper the generalization of the rotations on any lightcone in Minkowski 3-space $${\mathbb {R}}_{g}^{1,2}$$Rg1,2 is given. The rotation motion on the lightcone is examined by means of a bilinear form and Lorentzian notions.… read more here.
Keywords: rotations lightcone; lightcone minkowski; minkowski space;
World Sheet of a Massive Spinning Particle in d = 4 Minkowski Space
Sign Up to like & getrecommendations! Published in 2019 at "Russian Physics Journal"
DOI: 10.1007/s11182-019-01650-x
Abstract: A geometrical model of a massive spinning particle, whose quantization corresponds to the unitary irreducible representation of the Poincaré group, is considered. It is shown that the class of gauge-equivalent trajectories of the particle forms… read more here.
Keywords: particle; minkowski space; spinning particle; massive spinning ... See more keywords
Rotationally symmetric spacelike translating solitons for the mean curvature flow in Minkowski space
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124086
Abstract: Abstract The rotationally symmetric spacelike translating solitons for the MCF in the Minkowski space are considered in this paper. To be specific, the complete classification for such translating solitons according to their rotation axes, which… read more here.
Keywords: spacelike translating; rotationally symmetric; minkowski space; symmetric spacelike ... See more keywords
The complete classification of a class of new linear Weingarten surfaces in Minkowski space
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124799
Abstract: Abstract In this paper, we consider spacelike and timelike surfaces satisfying an interesting geometric property that the gradient of the mean curvature is a principal direction in a Minkowski 3-space. It is proved that these… read more here.
Keywords: space; linear weingarten; minkowski space; surfaces minkowski ... See more keywords
Pseudo-Finsler Spaces Modeled on a Pseudo-Minkowski Space
Sign Up to like & getrecommendations! Published in 2018 at "Reports on Mathematical Physics"
DOI: 10.1016/s0034-4877(18)30069-7
Abstract: We adopt a vierbein formalism to study pseudo-Finsler spaces modeled on a pseudo-Minkowski space. We show that it is possible to obtain closed expressions for most of the geometric objects of the theory, including Berwald's… read more here.
Keywords: pseudo finsler; finsler spaces; minkowski space; spaces modeled ... See more keywords
Non-lightlike ruled surfaces with constant curvatures in Minkowski 3-space
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887818500688
Abstract: We study the non-lightlike ruled surfaces in Minkowski 3-space with non-lightlike base curve c(s) =∫(αt + βn + γb)ds, where t, n, b are the tangent, principal normal and binormal vectors of an arbitrary timelike… read more here.
Keywords: ruled surfaces; lightlike ruled; minkowski space; non lightlike ... See more keywords
Landau levels from noncommutative U(1)⋆ gauge theory in κ-Minkowski space-time
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887818501414
Abstract: Motivated by physics of the Lowest Landau Level and the Quantum Hall Effect, we investigate motion of an electron in a constant background magnetic field in the κ-Minkowski space-time. Starting from an action invariant under… read more here.
Keywords: noncommutative gauge; space time; minkowski space;
Null helices and Cartan slant helices in Lorentz–Minkowski 3-space
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887819501792
Abstract: In this paper, we study null helices, Cartan slant helices and two special developable surfaces associated to them in Lorentz–Minkowski 3-space. We give a method using a special plane curve to construct a null helix.… read more here.
Keywords: lorentz minkowski; cartan slant; helices cartan; null helices ... See more keywords
Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation in Minkowski space
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-0963-5
Abstract: In this paper, we consider a one-dimensional mean curvature equation in Minkowski space and the corresponding one-parameter problem. By using a fixed point theorem of cone expansion and compression of norm type, the existence and… read more here.
Keywords: mean curvature; equation minkowski; one dimensional; minkowski space ... See more keywords
Envelopes of circles and spacelike curves in the Lorentz–Minkowski 3-space
Sign Up to like & getrecommendations! Published in 2020 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0092
Abstract: Abstract The isotropy projection establishes a correspondence between curves in the Lorentz–Minkowski space ????13{\mathbf{E}_{1}^{3}} and families of cycles in the Euclidean plane (i.e., curves in the Laguerre plane ℒ2{\mathcal{L}^{2}}). In this paper, we shall give… read more here.
Keywords: curves lorentz; envelopes circles; lorentz minkowski; minkowski space ... See more keywords
The Algebraic Surfaces of the Enneper Family of Maximal Surfaces in Three Dimensional Minkowski Space
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11010004
Abstract: We consider the Enneper family of real maximal surfaces via Weierstrass data (1,ζm) for ζ∈C, m∈Z≥1. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space E2,1. Moreover, we propose that… read more here.
Keywords: three dimensional; enneper family; maximal surfaces; minkowski space ... See more keywords