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微分幾何
Showing the original Japanese · View translation
図形の曲がり具合から幾何学的な性質を探る、微分幾何の分野。
AboutAbout the lab
曲がり具合から、図形の性質を探る。
微分幾何は、
ガウスの
教員の
Key terms
- 曲率
- 図形や
曲面の 曲がり具合を 表すもの。 微分幾何では、 これで 図形の 性質を とらえる - アレクサンドロフ空間
- リーマン多様体を
一般化した 空間。 この 分野で 調べる 対象の ひとつ - 岡の
原理 - 複素解析の
ホモトピー原理。 Stein多様体上の 解析的問題には 位相的な 障害しかない、と いう 原理 - Conley指数
- 位相力学系の
研究に 現れる、 ホモトピー的な 不変量
ResearchResearch themes
微分幾何は、
*Illustrative imageアレクサンドロフ空間のモジュライ
個々の
*Illustrative image岡の原理と楕円性
複素解析の
*Illustrative image非リーマン等質空間のコンパクト商
等質
*Illustrative imageConley指数の簡明な定式化
位相力学系の
MembersFaculty
- Professor翁 林
- Professor笹平 裕史
- Professor谷口 隆晴
- Associate Professor大津 幸男
- Associate Professor日下部 佑太
- Associate Professor森田 陽介
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Schwarz H Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
- アレクサンドロフ空間の
モジュライ: “Metric circles” Jacob Rus / CC BY-SA 4.0 (cropped) - 岡の
原理と 楕円性: “Surface torus” Hellingspaul / CC BY-SA 3.0 (cropped) - 非リーマン等質
空間の コンパクト商: “Lie transport” Phidus / CC BY-SA 4.0 (cropped) - Conley指数の
簡明な 定式化: “Lorenz Attractor from Gauss-Legendre” Mgolden96 / CC BY-SA 4.0 (cropped) - Related lab (トポロジー): “Klein bottle green” Aizenr / CC BY-SA 4.0 (cropped)
- Related lab (数理統計): “08fig-empirical” ASpiegler / CC BY-SA 4.0 (cropped)
- Related lab (代数幾何): “Heike Kamerlingh Onnes - 29 - Plaster model of a Ψ surface of a mixture of two substances” 作者不詳 / Public domain (cropped)
- Related lab (表現論・調和解析): “Worm's-eye view of Tokyo Skytree with vertical symmetry impression, a sunny day, in Japan” Basile Morin / CC BY-SA 4.0 (cropped)
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