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幾何系（小林真平）
Showing the original Japanese · View translation
曲面の幾何と可積分系が出会うところを調べる研究。
AboutAbout the lab
曲がった空間を、可積分系の目で。
小林真平先生は、
微分幾何学では、
特別な
平均曲率一定
Key terms
- 平均曲率一定曲面
- 面の
ふくらみ方 （平均曲率）が どこでも 同じ値に なる 曲面。 シャボン玉のような 形が 代表例 - 可積分系
- 「解ける
仕組み」を もつ微分 方 程式の まとまり。 ソリトンなど 物理の 現象にも 現れる - 調和写像
- 空間から
空間への 写像の うち、 ひずみの エネルギーが 極値 （停留点）に なる もの
ResearchResearch themes
動標構と
*Illustrative image可積分系と曲面の幾何
平均曲率一定
*Illustrative imageタイヒミュラー理論と調和写像
複素ランドスライド流や、
*Illustrative image極小ラグランジュ部分多様体
複素空
*Illustrative image統計多様体とアファイン幾何
統計多様体や
MembersFaculty
- Professor小林 真平
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 幾何系（小林真平）
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数理科学系The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Chen-Gackstatter-Thayer surfaces” Anders Sandberg / CC BY-SA 3.0 (cropped)
- 可積分系と
曲面の 幾何: “Triunduloid” Anders Sandberg / CC BY-SA 3.0 (cropped) - タイヒミュラー理論と
調和写像: “Order 7-3 rhombic tiling in the Band Model” TheKing44 / CC BY-SA 4.0 (cropped) - 極
小ラグランジュ部分 多様体: “Minimalfläche mit Seifenhaut Würfel 0328” Bin im Garten / CC BY-SA 3.0 (cropped) - 統計多様体と
アファイン幾何: “Dirichlet-3d” Empetrisor / CC BY-SA 4.0 (cropped) - Related lab (幾何系
（井ノ口順一） ): “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped) - Related lab (解析系
（浜向直） ): “Real snowflake macro photo” Alexey Kljatov / CC BY-SA 4.0 (cropped) - Related lab (解析系
（本多尚文） ): “Essential singularity” Functor Salad / CC BY-SA 3.0 (cropped) - Related lab (数理科学系
（黒田紘敏） ): “Newly fallen snow crystals accumulating on a window sill” W.carter / CC0 (cropped)
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