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Takatsu Lab
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The lab studies how curved a space is, starting from the question of how to transport things with minimum energy.
AboutAbout the lab
Understanding the shape of space through how things are transported.
The Takatsu Lab studies the curvature of space in the field of geometric analysis.
The objects of study are often Riemannian manifolds, or more general spaces equipped with a distance and a measure.
The lab mainly uses optimal transport theory, which considers how to move things with minimum energy, as its main tool.
Key terms
- Geometric analysis
- A field that studies the shape of figures and spaces using differential equations and tools from analysis
- Riemannian manifold
- A smooth space equipped with a way of measuring lengths and angles; a generalization of surfaces to higher dimensions
- Optimal transport theory
- A mathematical theory that considers how to move things from one arrangement to another at the lowest possible cost
ResearchResearch themes
The lab's research field is geometric analysis, with a focus on geometric analysis using optimal transport theory. It studies the curvature of Riemannian manifolds and of spaces equipped with a distance and a measure.
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MembersFaculty
- ProfessorAsuka TakatsuPublications ↗
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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: “Continuous optimal transport” Nicolas Papadakis / CC BY-SA 4.0 (cropped)
- Geometric analysis using optimal transport theory: “Optimal transport matrix” Nicolas Papadakis / CC BY-SA 4.0 (cropped)
- Related lab (Honda Lab): “Lidinoid surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
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- Related lab (Konno Lab): “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped)
- Related lab (Ito Lab): “Tetrahedroid” Salix alba / CC BY-SA 4.0 (cropped)
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