Results 51 to 60 of about 10,848 (164)
Twisted Surfaces in Semi-Euclidean $4$-Space with Index $2$
International Electronic Journal of GeometryIn this paper, we consider the twisted surfaces in semi-Euclidean 4-space with index 2.We classify the twisted surface with respect to their spine curve which are non-null or null curves. So, we study the geometric properties of these surfaces. Also we obtain the family of some special surfaces such as flat surfaces, marginally trapped surfaces.
Ali Uçum +2 more
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Cones in the Euclidean space with vanishing scalar curvature
Anais da Academia Brasileira de Ciências, 2004 Given a hypersurface M on a unit sphere of the Euclidean space, we define the cone based on M as the set of half-lines issuing from the origin and passing through M.
João Lucas M. Barbosa +1 more
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Thermodynamics of the Kerr-AdS black hole from an ensemble-averaged theory
European Physical Journal C: Particles and FieldsExploring the universal structure of the gravitational path integral beyond semi-classical saddles and uncovering a compelling statistical interpretation of black hole thermodynamics have long been significant challenges.
Peng Cheng +3 more
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Null Quaternionic Curves in Semi-Euclidean 3-Space of Index ν
Acta Physica Polonica A, 2015 The quaternions were first described by Irish mathematician Sir William Rowan Hamilton in 1843. The space of quaternions Q are isomorphic to E, 4dimensional vector space over the real numbers. The set of the quaternions, which was introduced by Hamilton, can be represented as Q = {ae1 + be2 + ce3 + d; a, b, c, d ∈ R}. Here, ei = −1, ei × ej = ek, 1 ≤ i
Coken, A. C., Aksoy, A. Tuna
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Modeling Tree-like Heterophily on Symmetric Matrix Manifolds
EntropyTree-like structures, characterized by hierarchical relationships and power-law distributions, are prevalent in a multitude of real-world networks, ranging from social networks to citation networks and protein–protein interaction networks.
Yang Wu, Liang Hu, Juncheng Hu
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Journal of Function Spaces, 2018 In this paper, a class of indefinite hypersurfaces and a class of indefinite surfaces generated by timelike curves located in nullcone in 4-dimensional semi-Euclidean space with index 2 are discussed. Using the unfolding theory in singularity theory, the
Xue Song, Zhigang Wang
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Skew-Hom-Lie Algebras in Semi-Euclidean Spaces
In this paper, first we introduce the notion of a skew-Hom-Lie algebra and give some examples. Then we study their representations and give the coboundary operator of skew-Hom-Lie algebras. As an application, there have a skew-Hom-Lie algebra $(R^4_2,[\cdot,\cdot]_θ,P)$ in semi-Euclidean spaces. For the null space of Semi-Euclidean spaces, there have a
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Spatial Decay Estimates for a Class of Thermoelastic Plates
International Journal of Mathematics and Mathematical SciencesThis study investigates the spatial characteristics of solutions for a class of thermoelastic plates governed by biharmonic operators within a semi-infinite strip in two-dimensional Euclidean space R2. The research begins with the derivation of an energy
Jincheng Shi, Naiqiao Qing
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Translation and homothetical lightlike hypersurfaces of semi-Euclidean space [PDF]
, 2009 It is shown that every translation lightlike and every homothetical lightlike hypersurface in a semi-Euclidean space is a hyperplane. As a consequence, both translation and homothetical lightlike hypersurfaces are minimal.
Goemans, Wendy, Van de Woestyne, Ignace
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The semi-classical saddles in three-dimensional gravity via holography and mini-superspace approach
Journal of High Energy PhysicsWe determine the complex geometries dual to the semi-classical saddles in three-dimensional gravity with positive or negative cosmological constant. We examine the semi-classical saddles in Liouville field theory and interpret them in terms of gravity ...
Heng-Yu Chen +3 more
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