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Aiyama Lab
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A lab that studies surfaces and submanifolds using differential geometry.
AboutAbout the lab
Studying surfaces and submanifolds through differential geometry
The Aiyama Lab studies surfaces and submanifolds using methods of differential geometry.
In the faculty list of the Degree Program in Mathematics, Lecturer Aiyama is listed as a lecturer in the Geometry Group.
The current research topic is "Surface Theory in 4-Dimensional Space," which investigates surfaces lying in four-dimensional space.
The lab has published papers dealing with minimal surfaces, Lagrangian surfaces, constant mean curvature surfaces, and more.
Key terms
- Differential Geometry
- A field of mathematics that uses differentiation to study the properties of curved objects such as curves and surfaces.
- Submanifold
- A generalization of surfaces and similar objects that sit inside a given space.
- Minimal Surface
- A surface on which the mean curvature, a quantity measuring how much the surface bends, is zero at every point.
- Surface
- A two-dimensional object that extends and curves, like the surface of a sphere.
ResearchResearch themes
This lab studies the properties of surfaces and submanifolds from the standpoint of differential geometry. The current research topic is surface theory in four-dimensional space.
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MembersFaculty
- LecturerReiko Aiyama
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: “Schwarz CLP Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
- Surface Theory in 4-Dimensional Space: “Minimal surface” Daniela_deGol / CC BY 4.0 (cropped)
- Related lab (丹下 基生 研究室): “Knotted Mobius strip 3” Albert P. Carpenter / 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 (石井 敦 研究室): “Conway knot” Saung Tadashi / CC BY-SA 4.0 (cropped)
- Related lab (濱中 翔太 研究室): “Meusnier theorem color” Wiki LIC / CC BY-SA 4.0 (cropped)
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