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小池研究室
Showing the original Japanese · View translation
微分幾何学を軸に、部分多様体の時間発展を調べる研究室。
AboutAbout the lab
対称空間の中の図形の形と変化を探る。
小池研究室は、
微分幾何学は、
研究室では、
平均曲率流は、
Key terms
- 平均曲率流
- 部分
多様体を 平均曲率ベクトルの 方向へ 変形する 流れ。 平面内の 楕円の 境界線は 丸くなって 1点に 崩壊する - 部分
多様体 - ある
多様体を、より 次元の 高い 空間には め込んで 得られる 図形 - リッチ流
- リーマン計量を、リッチ流方程式と
いう 偏微分方 程式の 解と して 発展させる 変形。 ポアンカレ予想の 解決に 使われた
NewsLab news
View More ↗ResearchResearch themes
小池研究室は、
*Illustrative imageコンパクト型対称空間の部分多様体
コンパクト型対称
*Illustrative image非コンパクト型対称空間の部分多様体
非コンパクト型対称
*Illustrative image対称空間内の平均曲率流の研究
対称
*Illustrative image手術付き平均曲率流と超曲面の位相
ある
MembersFaculty
- 小池 直之
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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: “Gyroid surface with Gaussian curvature” 作者不詳 / Public domain (cropped)
- コンパクト型対称
空間の 部分 多様体: “Green Sphere illustration” Aizenr / CC BY-SA 4.0 (cropped) - 非コンパクト型対称
空間の 部分 多様体: “Open universe” NASA / WMAP Science Team / Public domain (cropped) - 対称
空間内の 平均曲率流の 研究: “Curvature comb” Carelsbergh Stijn / CC BY-SA 4.0 (cropped) - 手術
付き平均曲率流と 超曲面の 位相: “Soap Films” Ryan Somma / CC BY-SA 2.0 (cropped) - Related lab (大山口研究室): “Good luck knot(ABOK 2437)” Zaripov Rustem / CC BY-SA 4.0 (cropped)
- Related lab (山川研究室): “Algebraic surfaces” Ashton Bradley Aspir8 / CC BY-SA 4.0 (cropped)
- Related lab (佐古研究室): “Extended universe logarithmic illustration (English annotated)” Pablo Carlos Budassi / CC BY-SA 4.0 (cropped)
- Related lab (新田研究室): “First eigenspace of the Bolza surface” Joroco246 / CC BY-SA 4.0 (cropped)
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