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Geometric Analysis, Differential Geometry, and Information Geometry Lab (Shun Maeta)
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The lab studies the shape of curved spaces through differential geometry and geometric analysis.
AboutAbout the lab
Making sense of curved spaces through mathematics.
Prof. Maeta studies differential geometry, geometric analysis, and information geometry.
The lab works on objects called Ricci solitons and Yamabe solitons.
In information geometry, the professor is interested in geometric flows on Hessian manifolds and their self-similar solutions.
Although the professor's graduate school affiliation is the Graduate School of Education, research in the lab is purely mathematical.
Key terms
- Ricci soliton
- A manifold that keeps its shape as it evolves under a deformation that smooths out how a shape is curved (the Ricci flow)
- Yamabe soliton
- A manifold that evolves while staying similar to itself under the Yamabe flow, which smooths out curvature
- Information geometry
- A field that regards a collection of probability distributions as a single space and studies its properties in the language of geometry
ResearchResearch themes
The lab studies differential geometry, geometric analysis, and information geometry. Its research objects include Ricci solitons, Yamabe solitons, and Hessian manifolds in information geometry.
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MembersFaculty
- Associate ProfessorShun Maeta
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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: “Modell einer Schraubenfläche konstanter negativer Krümmung -Schilling V, 4 - 231” Ramona Trusheim / CC BY-SA 3.0 (cropped)
- Ricci Solitons and Information Geometry: “Ricci flow” CBM / Public domain (cropped)
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