Sakata Shigehiro 坂田繁洋

Researcher Number	30732937
Other IDs
Affiliation (Current)	2025: 法政大学, 理工学部, 准教授 2025: 福岡大学, 理学部, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 福岡大学, 理学部, 准教授 2019 – 2021: 福岡大学, 理学部, 講師 2017 – 2018: 宮崎大学, 教育学部, 講師 2015: 宮崎大学, 教育文化学部, 講師 2014: 早稲田大学, 付置研究所, 助手
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related
Keywords	Principal Investigator 凸性 / たたみ込み / 凸多角形 / モーメント / 凸体 / 動径和 / Minkowski和 / Brunn--Minkowskiの不等式 / 狭義凸性 / 最適化問題 … More / 形状決定問題 / 双対体積 / 平行体 / 正三角形 / 動径関数 / 三角形 / 輻射中心 / Busemann-Pettyの問題 / Busemannの定理 / 交差体 / ホットスポット / バランス法則 / Rieszポテンシャル / Poisson積分 / 体 / 中心 Less

Geometric inequalities of dual volumes of convex bodies and properties of additions of convex bodies derived from the inequalitiesPrincipal Investigator
- Principal Investigator
  
  坂田繁洋
- Project Period (FY)
  2020 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Fukuoka University
Study on the convexity of intersection bodies of a convex body with radial centersPrincipal Investigator
- Principal Investigator
  
  Sakata Shigehiro
- Project Period (FY)
  2017 – 2022
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Fukuoka University
  University of Miyazaki
Maximizers of Poisson's integral and the shape of a bodyPrincipal Investigator
- Principal Investigator
  
  Sakata Shigehiro
- Project Period (FY)
  2014 – 2015
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  University of Miyazaki
  Waseda University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

[Journal Article] Euclidean geometric description of radial centers of a triangle2022
- Author(s)
  Sakata Shigehiro
- Journal Title
  
  Colloquium Mathematicum
  
  Volume: 170 Issue: 2 Pages: 275-288
- DOI
  10.4064/cm8493-12-2021
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14191
[Journal Article] An extremum problem for the power moment of a convex polygon contained in a disc2021
- Author(s)
  Herburt Irmina、Sakata Shigehiro
- Journal Title
  
  Advances in Geometry
  
  Volume: 21 Issue: 4 Pages: 599-609
- DOI
  10.1515/advgeom-2021-0021
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14191
[Journal Article] Analytic characterization of equilateral triangles2021
- Author(s)
  Shigehiro Sakata
- Journal Title
  
  Annali di Matematica Pura ed Applicata
  
  Volume: - Issue: 5 Pages: 2191-2212
- DOI
  10.1007/s10231-021-01075-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14191
[Journal Article] Strict power concavity of a convolution2021
- Author(s)
  O’Hara Jun、Sakata Shigehiro
- Journal Title
  
  Annali di Matematica Pura ed Applicata (1923 -)
  
  Volume: - Issue: 4 Pages: 1553-1575
- DOI
  10.1007/s10231-021-01170-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14320
[Journal Article] Movement of time-delayed hot spots in Euclidean space for a degenerate initial state2020
- Author(s)
  Sakata Shigehiro、Wakasugi Yuta
- Journal Title
  
  Discrete & Continuous Dynamical Systems - A
  
  Volume: 40 Issue: 5 Pages: 2705-2738
- DOI
  10.3934/dcds.2020147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-17K14191
[Journal Article] Stationary radial centers and symmetry of convex polytopes2019
- Author(s)
  Shigehiro Sakata
- Journal Title
  
  Colloquium Mathematicum
  
  Volume: 159 Issue: 1 Pages: 91-106
- DOI
  10.4064/cm7712-11-2018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] Something interesting derived from convolutions2023
- Author(s)
  Shigehiro Sakata
- Organizer
  Energies of Knots, Residues of Manifolds and Related Topics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14320
[Presentation] たたみ込みの上への狭義べき凸性2021
- Author(s)
  坂田繁洋
- Organizer
  第144回日本数学会九州支部例会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14320
[Presentation] 距離核ポテンシャルの臨界点と正三角形の特徴づけ2020
- Author(s)
  坂田繁洋
- Organizer
  広島数理解析セミナー・冬の研究会2020
- Invited
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] 距離核ポテンシャルの臨界点による正三角形の特徴づけ2019
- Author(s)
  坂田繁洋
- Organizer
  第66回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] 凸多角形のモーメントの極値問題2019
- Author(s)
  坂田繁洋
- Organizer
  福岡大学微分幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] 凸体のRieszポテンシャル, 中心, 切り口と影2019
- Author(s)
  坂田繁洋
- Organizer
  福岡大学微分幾何研究集会2019
- Invited
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] Critical points of Riesz potentials and characterization of regular triangles2018
- Author(s)
  Shigehiro Sakata
- Organizer
  Seminarium "Geometria Przestrzeni Banach"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] Symmetry of a triangle and critical points of Riesz potential2018
- Author(s)
  坂田繁洋
- Organizer
  首都大学東京幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] ポテンシャルの臨界点と凸多角形の対称性2017
- Author(s)
  坂田繁洋
- Organizer
  幾何セミナー(熊本)
- Invited
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] 関数の最大点と凸体の対称性2017
- Author(s)
  坂田繁洋
- Organizer
  第64回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] Characterization of regular triangles in terms of critical points of Riesz potentials2017
- Author(s)
  Shigehiro Sakata
- Organizer
  Convex, Discrete and Integral Geometry
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14191
[Presentation] 立体灯心の久遠の旅路2016
- Author(s)
  坂田繁洋
- Organizer
  MZセミナー
- Place of Presentation
  宮崎大学
- Year and Date
  2016-02-16
- Invited
- Data Source
  KAKENHI-PROJECT-26887041
[Presentation] Every convex body has a unique illuminating center2015
- Author(s)
  坂田繁洋
- Organizer
  首都大学東京幾何学セミナー
- Place of Presentation
  首都大学東京
- Year and Date
  2015-07-31
- Invited
- Data Source
  KAKENHI-PROJECT-26887041
[Presentation] PISAの街灯問題から発展する数学2015
- Author(s)
  坂田繁洋
- Organizer
  数学と諸科学の融合2015
- Place of Presentation
  早稲田大学
- Year and Date
  2015-07-21
- Invited
- Data Source
  KAKENHI-PROJECT-26887041
[Presentation] The locus of illuminating centers2015
- Author(s)
  Shigehiro Sakata
- Organizer
  Shapes and other properties of solutions of PDEs
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-11-12
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26887041
[Presentation] 上半空間におけるPoisson積分の凸性2015
- Author(s)
  坂田繁洋
- Organizer
  日本数学会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-15
- Data Source
  KAKENHI-PROJECT-26887041
[Presentation] 凸体の立体灯心の一意性2015
- Author(s)
  坂田繁洋
- Organizer
  第62回幾何学シンポジウム
- Place of Presentation
  東京理科大学
- Year and Date
  2015-08-28
- Invited
- Data Source
  KAKENHI-PROJECT-26887041

1. 若杉勇太

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Sakata Shigehiro 坂田 繁洋

Research Projects

Research Products

Co-Researchers

Geometric inequalities of dual volumes of convex bodies and properties of additions of convex bodies derived from the inequalitiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on the convexity of intersection bodies of a convex body with radial centersPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Maximizers of Poisson's integral and the shape of a bodyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Euclidean geometric description of radial centers of a triangle2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] An extremum problem for the power moment of a convex polygon contained in a disc2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Analytic characterization of equilateral triangles2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Strict power concavity of a convolution2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Movement of time-delayed hot spots in Euclidean space for a degenerate initial state2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Stationary radial centers and symmetry of convex polytopes2019

Author(s)

Journal Title

DOI

Data Source

[Presentation] Something interesting derived from convolutions2023

Author(s)

Organizer

Data Source

[Presentation] たたみ込みの上への狭義べき凸性2021

Author(s)

Organizer

Data Source

[Presentation] 距離核ポテンシャルの臨界点と正三角形の特徴づけ2020

Author(s)

Organizer

Data Source

[Presentation] 距離核ポテンシャルの臨界点による正三角形の特徴づけ2019

Author(s)

Organizer

Data Source

[Presentation] 凸多角形のモーメントの極値問題2019

Author(s)

Organizer

Data Source

[Presentation] 凸体のRieszポテンシャル, 中心, 切り口と影2019

Author(s)

Organizer

Data Source

[Presentation] Critical points of Riesz potentials and characterization of regular triangles2018

Author(s)

Organizer

Data Source

Sakata Shigehiro 坂田繁洋