Results 1 to 10 of about 192,782 (168)
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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Fundamental theorems of Morse theory on posets
AIMS Mathematics, 2022 We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using these results we extend Forman's discrete Morse theory to more general cell complexes and derive the Morse-Pitcher inequalities in ...
D. Fernández-Ternero +3 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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Scalar Field Evolution at Background and Perturbation Levels for a Broad Class of Potentials
Fortschritte der Physik, Volume 71, Issue 10-11, November 2023., 2023 Abstract In this paper, a non‐interacting scalar field cosmology with an arbitrary potential using the f‐deviser method that relies on the differentiability properties of the potential is investigated. Using this alternative mathematical approach, a unified dynamical system analysis at a scalar field's background and perturbation levels with arbitrary ...
Genly Leon +5 more
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A footnote to a theorem of Kawamata
Mathematische Nachrichten, Volume 296, Issue 10, Page 4739-4744, October 2023., 2023 Abstract Kawamata has shown that the quasi‐Albanese map of a quasi‐projective variety with log‐irregularity equal to the dimension and log‐Kodaira dimension 0 is birational. In this note, we show that under these hypotheses the quasi‐Albanese map is proper in codimension 1 as conjectured by Iitaka.
Margarida Mendes Lopes +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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