Cyclic Lorentzian Lie groups [PDF]
Geometriae Dedicata, 2015 We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as different as possible from bi-invariant metrics. We show that several results
G. Calvaruso, M. López
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Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections
Communications in Analysis and Mechanics, 2023 In this paper, we discuss the beingness conditions for algebraic Schouten solitons associated with Yano connections in the background of three-dimensional Lorentzian Lie groups.
Jinli Yang, Jiajing Miao
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Generalized Cross-Curvature Solitons of 3D Lorentzian Lie Groups
AxiomsWe investigate left-invariant generalized cross-curvature solitons on simply connected three-dimensional Lorentzian Lie groups. Working with the assumption that the contravariant tensor Pij (defined from the Ricci tensor and scalar curvature) is ...
Mehdi Jafari
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Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three [PDF]
advg, 2008 We determine, for all three-dimensional non-unimodular Lie groups equipped with a Lorentzian metric, the set of homogeneous geodesics through a point. Together with the results of [C] and [CM2], this leads to the full classification of three-dimensional ...
G. Calvaruso, R. A. Marinosci
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On Surfaces of Exceptional Lorentzian Lie Groups with a Four-Dimensional Isometry Group
MathematicsIn total, geodesic surfaces and their generalizations, namely totally umbilical and parallel surfaces, are well-known topics in Submanifold Theory and have been intensively studied in three-dimensional ambient spaces, both Riemannian and Lorentzian.
Giovanni Calvaruso, Lorenzo Pellegrino
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Algebraic Schouten Solitons of Three-Dimensional Lorentzian Lie Groups [PDF]
Symmetry, 2022 In 2016, Wears defined and studied algebraic T-solitons. In this paper, we define algebraic Schouten solitons as a special T-soliton and classify the algebraic Schouten solitons associated with Levi-Civita connections, canonical connections, and ...
Siyao Liu
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Affine Ricci Solitons of Three-Dimensional Lorentzian Lie Groups [PDF]
Journal of Nonlinear Mathematical Physics, 2020 In this paper, we classify affine Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections and perturbed canonical connections and perturbed Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups with some ...
Yong Wang
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Left-Invariant Riemann Solitons of Three-Dimensional Lorentzian Lie Groups [PDF]
Symmetry, 2021 Riemann solitons are generalized fixed points of the Riemann flow. In this note, we study left-invariant Riemann solitons on three-dimensional Lorentzian Lie groups.
Yong Wang
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Generalized Holographic Principle, Gauge Invariance and the Emergence of Gravity à la Wilczek [PDF]
Frontiers in Astronomy and Space Sciences, 2021 We show that a generalized version of the holographic principle can be derived from the Hamiltonian description of information flow within a quantum system that maintains a separable state. We then show that this generalized holographic principle entails
Andrea Addazi +11 more
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Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 In this work it is shown that a necessary condition for the completeness of the geodesics of left invariant pseudo-Riemannian metrics on Lie groups is also sufficient in the case of 3-dimensional unimodular Lie groups, and not sufficient for 3 ...
Alberto Medina, Shirley Bromberg
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