Results 11 to 20 of about 54 (54)
Kähler metrics via Lorentzian Geometry in dimension four
Complex Manifolds, 2019 Given a semi-Riemannian 4-manifold (M, g) with two distinguished vector fields satisfying properties determined by their shear, twist and various Lie bracket relations, a family of Kähler metrics gK is constructed, defined on an open set in M, which ...
Aazami Amir Babak, Maschler Gideon
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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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On a Class Almost Contact Manifolds with Norden Metric
, 2020 Certain curvature properties and scalar invariants of the manifolds belonging to one of the main classes almost contact manifolds with Norden metric are considered. An example illustrating the obtained results is given and studied.
Marta Teofilova
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On tangent bundles of Walker four-manifolds
Open MathematicsThe aim of this study is to explore the complete lifts of almost Norden structures on tangent bundles of Walker four-manifolds. Furthermore, we examine the integrability conditions of the complete lifts JC{J}^{C} of the proper almost complex structure ...
Çayir Haşim +2 more
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Pseudosymmetry and curvature inheritance of the interior black hole spacetime
Physics Letters BThe notion of pseudosymmetry by Adamów and Deszcz [1] generalizes the concept of local symmetry and semisymmetry, and it serves as a model of various spacetimes. The classification of pseudosymmetric spacetimes has been studied in [2].
Absos Ali Shaikh +3 more
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Conjugate Loci of Pseudoriemannian 2-step Nilpotent Lie Groups with Nondegenerate Center
, 2020 : We determine the complete conjugate locus along all geodesics parallel or perpendicular to the center (Theorem 2.3). When the center is 1-dimensional we obtain formulas in all cases (Theorem 2.5), and when a certain operator is also diagonalizable ...
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Nuclear Physics BThe primary objective of the article is to investigate the symmetry and pseudosymmetry properties of the Reissner-Nordström-de Sitter (briefly, RNdS) spacetime. The secondary aim of the paper is to explore the notion of Ricci solitons in RNdS spacetimes.
Absos Ali Shaikh, Kamiruzzaman
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A new frame for non-lightlike curves in Minkowski 3-space: hybrid frame
Demonstratio MathematicaIn this study, we introduce a hybrid frame consisting of elliptic, hyperbolic, and parabolic vectors for the study of non-lightlike curves in Minkowski 3-space.
Öztürk İskender +2 more
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The Equations of Motion of a Null Curve in Lightlike Cone of 3-Dimensonal Minkowski Space
, 2009 In this article we investigate null curves in the lightlike cone of 3-dimensional Lorentz Minkowski space and give some characterizations of these curves.We also obtain the equations of motion of a null curve in the lightlike cone. Mathematics Subject
Erdogan, Mehmet +2 more
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Null Distance and Convergence of Lorentzian Length Spaces. [PDF]
Ann Henri Poincare, 2022 Kunzinger M, Steinbauer R.
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