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Differential Geometry Lab (Atsufumi Honda)
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The lab uses differential geometry to study singularities of surfaces.

AboutAbout the lab
Revealing the structure behind curved shapes
The lab of Associate Professor Atsufumi Honda studies the properties of surfaces from the viewpoint of differential geometry.
Curved shapes such as soap bubbles involve a quantity called curvature.
The lab investigates the behavior of singularities that appear on surfaces of constant Gaussian curvature and constant mean curvature, revealing the structure behind these shapes.
Key terms
- Differential geometry
- A field of mathematics that uses the ideas of differentiation to study the properties of shapes such as curves and surfaces
- Curvature
- A quantity that expresses how much a curve or surface bends
- Singularity
- A point on a shape such as a surface where smoothness breaks down
ResearchResearch themes
The lab studies differential geometry, which uses mathematics to examine curved shapes. It focuses on the behavior of singularities that appear on surfaces of constant curvature.
View More ↗MembersFaculty
- Associate ProfessorAtsufumi Honda
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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: “The soap bubble tends to spherical shape” Alina Vozna / CC BY-SA 4.0 (cropped)
- Behavior of singularities on surfaces: “Surface of degree 7” Jean Constant / CC BY-SA 4.0 (cropped)
- Related lab (Algebra Lab): “Disqvisitiones-800” 作者不詳 / Public domain (cropped)
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