Research profile

Takanari Saotome

Works on 3-manifolds, long-time existence & convergence and other curvature flows.

NP-RC-113540

3
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2
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3-manifoldsLong-time existence & convergenceOther curvature flows

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  1. Shu-Cheng Chang

    1 joint worklatest 2019

  2. Ting-Jung Kuo

    1 joint worklatest 2019

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2019

math.DGWider flowsv2arXiv:1905.01783

Global existence and convergence for the CR Q-curvature flow in a closed strictly pseudoconvex CR 3-manifold

Shu-Cheng Chang, Ting-Jung Kuo, Takanari Saotome

In this note, we affirm the partial answer to the long open Conjecture which states that any closed embeddable strictly pseudoconvex CR -manifold admits a contact form with the vanishing CR -curvature. More precisely, we deform the contact form according to an CR analogue of %-curvature flow in a closed strictly pseudoconvex CR -manifold of the vanishing first Chern class . Suppose that is embeddable and the CR Paneitz operator is nonnegative with kernel consisting of the CR pluriharmonic functions. We show that the solution of CR -curvature flow exists for all time and has smoothly asymptotic convergence on \ As a consequence, we are able to affirm the Conjecture in a closed strictly pseudoconvex CR -manifold of the vanishing first Chern class and vanishing torsion.

Other curvature flows3-manifoldsLong-time existence & convergence
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