Results 1 to 10 of about 9,440 (169)
A Discrete Representation of the Second Fundamental Form
Mathematics, 2022 We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form.
Alfonso Carriazo +2 more
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Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures
Mathematics, 2021 In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo +2 more
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Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
Axioms, 2020 We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect
José Luis Carmona Jiménez +1 more
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Generating punctured surface triangulations with degree at least 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 As a sequel of a previous paper by the authors, we present here a generating theorem for the family of triangulations of an arbitrary punctured surface with vertex degree ≥ 4.
Chávez María-José +3 more
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On the Significance of the Stress–Energy Tensor in Finsler Spacetimes
Universe, 2022 We revisit the physical arguments that led to the definition of the stress–energy tensor T in the Lorentz–Finsler setting (M,L) starting with classical relativity.
Miguel Ángel Javaloyes +2 more
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Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition
Mathematics, 2020 We prove that if the f-sectional curvature at any point of a ( 2 n + s ) -dimensional metric f-contact manifold satisfying the ( κ , μ ) nullity condition with n > 1 is independent of the f-section at the point, then it is constant
Alfonso Carriazo +2 more
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The Rigging Technique for Null Hypersurfaces
Axioms, 2021 Starting from the main definitions, we review the rigging technique for null hypersurfaces theory and most of its main properties. We make some applications to illustrate it.
Manuel Gutiérrez, Benjamín Olea
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Foundations of Finsler Spacetimes from the Observers’ Viewpoint
Universe, 2020 Physical foundations for relativistic spacetimes are revisited in order to check at what extent Finsler spacetimes lie in their framework. Arguments based on inertial observers (as in the foundations of special relativity and classical mechanics) are ...
Antonio N. Bernal +2 more
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Complete Non-Orientable Minimal Surfaces in ℝ3 and Asymptotic Behavior
Analysis and Geometry in Metric Spaces, 2014 In this paperwe give new existence results for complete non-orientable minimal surfaces in ℝ3 with prescribed topology and asymptotic ...
Alarcón Antonio, López Francisco J.
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Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers
Open Mathematics, 2018 This article is motivated by a problem posed by David A. Singer in 1999 and by the classical Euler elastic curves. We study spacelike and timelike curves in the Lorentz-Minkowski plane 𝕃2 whose curvature is expressed in terms of the Lorentzian ...
Castro Ildefonso +2 more
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