Paper · Mar 26, 2022

-curvature flow on Pseudo-Einstein CR manifolds

Ali Maalaoui, Vittorio Martino

math.DGWider flowsarXiv:2203.14162
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Abstract

In this paper we consider the problem of prescribing the -curvature on three dimensional Pseudo-Einstein CR manifolds. We study the gradient flow generated by the related functional and we will prove its convergence to a limit function under suitable assumptions.

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Submitted
Mar 26, 2022
Subjects
math.DG, math.AP

Comments: 28 pages

Other curvature flows3-manifolds

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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 2021, plus the canon.

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Closer to the centre: more closely connected. Clockwise from the top: oldest to newest. Ricci flowWider flowsalso connected to each other
  1. Gradient pseudo-Ricci solitons of real hypersurfaces

    Mayuko Kon

    Shared terms “Pseudo Einstein”

  2. Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space

    Gregório Silva Neto and Vanessa SilvaWider flows

    Topics 3-manifolds, Other curvature flows

  3. Classification of invariant Gauss curvature solitons in the Heisenberg space

    Rafael Belli and Rafael LópezWider flows

    Topics 3-manifolds, Other curvature flows

  4. Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows

    Albert Chau and Adam Martens

    Topics 3-manifolds, Other curvature flows

  5. Geometric flows and space-periodic solitons on the light-cone

    Yun YangWider flows

    Topics 3-manifolds, Other curvature flows

  6. Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds

    A. Diatta, M. Ciss and A. S. Diallo

    Topics 3-manifolds · Shared terms “Einstein”

  7. A topological gap theorem for the -systole of positive scalar curvature 3-manifolds

    Kai XuWider flows

    Topics 3-manifolds, Other curvature flows

  8. An improvement of regularity result for pseudo Calabi flow

    Jingrui Cheng and Junhao TianWider flows

    Topics Other curvature flows

Read around it

Background reading

The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.

Other curvature flows Wider flows Flows that move a hypersurface or metric by some other function of curvature: Gauss curvature (worn stones), inverse mean curvature (the Penrose… Start with: Shapes of worn stones (Firey, 1974) 3-manifolds Dimension three is where Ricci flow has done its most complete work. It proves geometrization, describes the flow's long-time behaviour, and now… Start with: Three-manifolds with positive Ricci curvature (Hamilton, 1982)

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