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2021 Fiscal Year Annual Research Report

A variational problem on conformality of maps and a variational problem on pullbacks of metrics

Research Project

Project/Area Number 18K03280
Research InstitutionYamaguchi University

Principal Investigator

中内 伸光  山口大学, 大学院創成科学研究科, 教授 (50180237)

Co-Investigator(Kenkyū-buntansha) 内藤 博夫  山口大学, その他部局等, 名誉教授 (10127772)
近藤 慶  岡山大学, 自然科学研究科, 教授 (70736123)
Project Period (FY) 2018-04-01 – 2022-03-31
Keywordsvariational problem / symphonic map / C-stationary map / pullback / Riemannian manifold
Outline of Annual Research Achievements

本年度は, model space 間の rotationally symmetric な C-stationary map について研究を進めた. model space 間の rotationally symmetric な C-stationary map の方程式を, 2階非線形常微分方程式に書き下し, その性質を調べた. 球面の次に簡単な model spaces を用いれば, C-stationary maps が conformal maps の変分法的アプローチであることをサポートする結果も期待できる. また, rotationally symmetric な symphonic maps についても, 並行して研究を行った.

  • Research Products

    (2 results)

All 2022

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (1 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results)

  • [Journal Article] Two examples of harmonic maps into the spheres2022

    • Author(s)
      Masashi Misawa and Nobumitsu Nakauchi
    • Journal Title

      Advances in Geometry

      Volume: 22 Pages: 23 - 31

    • DOI

      10.1515/advgeom-2021-0008

    • Peer Reviewed
  • [Presentation] A Variational Problem on Conformality of Maps and Related Problems2022

    • Author(s)
      Nobumitsu Nakauchi
    • Organizer
      Workshop on Differential Geometry and Geometric Analysis --- Celebration of Professor Miyuki Koiso's Retirement ---
    • Int'l Joint Research / Invited

URL: 

Published: 2022-12-28  

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