Paper · Jan 31, 2020

Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups

Yong Wang

As on arXiv

Abstract

In this paper, we compute canonical connections and Kobayashi-Nomizu connections and their curvature on three-dimensional Lorentzian Lie groups with some product structure. We define algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections. We classify algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups with some product structure.

Submitted
Jan 31, 2020
Last revised
Feb 16, 2020 (v2)
Subjects
math.DG

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The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2016, plus the canon.

Connected papers This paper in the centre and the 8 papers closest to it around it, in date order clockwise from the top. The closer a paper sits to the centre, the stronger the connection. This paper Affine Ricci solitons of three-dimensional Lorentzian Lie groups (Yong Wang, 2020)1Wang 2020 Affine Ricci Solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups (Tong Wu and Yong Wang, 2021)2Wu 2021 Ricci solitons of special Lorentzian Lie groups with a four-dimensional isometry group (Giovanni Calvaruso, Lorenzo Pellegrino and Amirhesam Zaeim, 2025)8Calvaruso 2025 Four-dimensional Lorentzian algebraic Ricci solitons (Eduardo Garcia-Rio, Rosalia Rodriguez-Gigirey and Ramon Vazquez-Lorenzo, 2026)6Garcia-Rio 2026 Canonical Connections and Algebraic Ricci Solitons on Lorentzian 4-Dimensional Nilpotent Lie Groups (Youssef Ayad, 2026)3Ayad 2026 Lorentzian Algebraic Ricci Solitons on the Heisenberg Group (Youssef Ayad, 2026)5Ayad 2026 Algebraic and Symmetrized Affine star-Ricci Solitons for the Bott Connection on Three-Dimensional Lorentzian Lie Groups (Yuxin Ding, 2026)7Ding 2026 A complete parameter classification of left-invariant Bott affine Ricci solitons for two rotated distributions on three-dimensional Lorentzian Lie groups (Fanqi Lin, 2026)4Lin 2026
Closer to the centre: more closely connected. Clockwise from the top: oldest to newest. Ricci flowWider flowsalso connected to each other
  1. Affine Ricci solitons of three-dimensional Lorentzian Lie groups

    Yong Wang

    Topics Physics, 3-manifolds, Homogeneous spaces · Same author Yong Wang · Shared terms “Lorentzian Lie”, “dimensional Lorentzian”, “canonical connections”

  2. Affine Ricci Solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups

    Tong Wu and Yong Wang

    Topics Physics, 3-manifolds, Homogeneous spaces · Same author Yong Wang · Shared terms “Lorentzian Lie”, “dimensional Lorentzian”, “solitons associated”

  3. Canonical Connections and Algebraic Ricci Solitons on Lorentzian 4-Dimensional Nilpotent Lie Groups

    Youssef Ayad

    Topics Physics, Homogeneous spaces, Ricci solitons · Shared terms “canonical connections”, “algebraic Ricci”, “Kobayashi Nomizu”

  4. A complete parameter classification of left-invariant Bott affine Ricci solitons for two rotated distributions on three-dimensional Lorentzian Lie groups

    Fanqi Lin

    Topics Physics, 3-manifolds, Homogeneous spaces · Shared terms “Lorentzian Lie”, “dimensional Lorentzian”, “Lie groups”

  5. Lorentzian Algebraic Ricci Solitons on the Heisenberg Group

    Youssef Ayad

    Topics Physics, 3-manifolds, Ricci solitons · Shared terms “algebraic Ricci”, “Lorentzian”, “Lie”

  6. Four-dimensional Lorentzian algebraic Ricci solitons

    Eduardo Garcia-Rio, Rosalia Rodriguez-Gigirey and Ramon Vazquez-Lorenzo

    Topics Physics, Homogeneous spaces, Ricci solitons · Shared terms “algebraic Ricci”, “dimensional Lorentzian”, “Lie groups”

  7. Algebraic and Symmetrized Affine star-Ricci Solitons for the Bott Connection on Three-Dimensional Lorentzian Lie Groups

    Yuxin Ding

    Topics Physics, 3-manifolds, Homogeneous spaces · Shared terms “Lorentzian Lie”, “dimensional Lorentzian”, “Lie groups”

  8. Ricci solitons of special Lorentzian Lie groups with a four-dimensional isometry group

    Giovanni Calvaruso, Lorenzo Pellegrino and Amirhesam Zaeim

    Topics Physics, 3-manifolds, Homogeneous spaces · Shared terms “Lorentzian Lie”, “Lie groups”

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