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Hamanaka Lab
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A lab that uses geometry to study curvature and how shapes change.

AboutAbout the lab
Studying the shapes of objects through curvature and flows
The Hamanaka Lab studies differential geometry and geometric analysis.
In particular, it works on problems related to scalar curvature and on geometric flows.
Project Assistant Professor Hamanaka has published papers on Ricci flow and total scalar curvature.
Key terms
- Scalar Curvature
- A quantity that expresses the curvature of a manifold at each point as a single number.
- Geometric Flow
- A flow in which the shape of an object changes over time according to its curvature.
- Ricci Flow
- A type of geometric flow in which the metric of a space evolves according to its Ricci curvature.
ResearchResearch themes
From the perspectives of differential geometry and geometric analysis, this lab studies problems related to scalar curvature and geometric flows. Project Assistant Professor Hamanaka has published papers on Ricci flow and total scalar curvature.
View More ↗MembersFaculty
- Project Assistant ProfessorShota Hamanaka
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: “Meusnier theorem color” Wiki LIC / CC BY-SA 4.0 (cropped)
- Scalar Curvature and Geometric Flows: “Curvature-Mathcad” Fry72 Karel Frydrýšek / CC BY-SA 4.0 (cropped)
- Related lab (山本 光 研究室): “Modell einer Minimalfläche mit einer einparametrigen Familie von Parabeln -Schilling XVII, 1 - 248” Oliver Zauzig / CC BY-SA 3.0 (cropped)
- Related lab (相山 玲子 研究室): “Schwarz CLP Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
- Related lab (小野 肇 研究室): “Surface of revolution illustration violett” W like wiki / CC BY-SA 4.0 (cropped)
- Related lab (永野 幸一 研究室): “Lexell's theorem in the hyperbolic plane (half-plane model)” Jacob Rus / CC BY-SA 4.0 (cropped)
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