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馬場研究室
Showing the original Japanese · View translation
対称空間などの幾何構造を微分幾何学で探る研究室。
AboutAbout the lab
多様体の幾何構造を、微分幾何学で探る。
馬場研究室は、
幾何学や
多様体の
この
Key terms
- 多様体
- 図形を
一般化した 概念。 幾何学や 数理物理学で 研究対象に なる - ホロノミー群
- ホロノミーは
平行移動に よる 曲がり、 群は 対称性の 概念。 多様体の 幾何構造の 性質を 捉えられる - 対称
空間 - Cartan が
基礎理論を 確立した 空間。 その 上の Lie群作用も 研究対象に なる - キャリブレーション
- Riemann多様体内の
極小部分 多様体の 研究を 起源に、 Harvey-Lawson が 導入した 概念
ResearchResearch themes
微分幾何学の
*Illustrative image対称空間の幾何学
対称空間と、
*Illustrative imageキャリブレート幾何学
キャリブレーションと、
*Illustrative image接続の幾何学
接続と
MembersFaculty
- Associate Professor馬場 蔵人
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: “Sarti surface” Claudio Rocchini / CC BY-SA 3.0 (cropped)
- 対称
空間の 幾何学: “EB1911 - Geometry Fig. 9” 作者不詳 / Public domain (cropped) - キャリブレート幾何学: “Horgan's minimal non-surface” Anders Sandberg / CC BY 4.0 (cropped)
- 接続の
幾何学: “Z2 principal bundle over circle” Tazerenix / CC BY-SA 4.0 (cropped) - Related lab (廣瀬研究室): “Tesseract torus” WatchduckYou can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck". / CC BY 4.0 (cropped)
- Related lab (田中研究室): “Poincare Group Commutation Structure” Travisrm89 / CC0 (cropped)
- Related lab (江崎研究室): “WienerSausage” R.e.b. / Public domain (cropped)
- Related lab (伊藤・呼子研究室): “Würfel” Dietmar Rabich / CC BY-SA 4.0 (cropped)
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