Oct 3, 2020 · Also the Clifford torus in $\mathbb {R}^4$ has no inside. Ray-insideness and path-insideness are not equivalent, as we can see by considering a spiral in $\mathbb {R}^2$, like this: …

Apr 20, 2018 · Riemannian properties of Clifford torus as a boundary. Ask Question Asked 7 years, 5 months ago Modified 7 years, 4 months ago

Feb 6, 2022 · Why is the surface of a torus is said to be flat? If you consider the geometry of the torus, its surface has locally positive (spherical), negative (hyperbolic) and flat curvature.

Mar 19, 2023 · We know that clifford torus is a minimal surface immersed in $\mathbb {S}^3$, but how to express this immersion in parametrization and how to calculate the mean curvature of this immersion?

Oct 9, 2014 · Distance between two points on the Clifford torus Ask Question Asked 11 years, 2 months ago Modified 11 years, 2 months ago

Feb 14, 2025 · Show that Clifford Torus Is a Regular Surface Ask Question Asked 10 months ago Modified 10 months ago

Dec 26, 2025 · Also based on here and here it seems like the “toroidal harmonics” for the Clifford torus corresponding to the Laplace and/or Helmholtz equation are just pairwise products of complex …

The Clifford torus shows up a lot in differential geometry in connection with minimal surfaces, for example in the Lawson's conjecture, the Oh's Conjecture, etc.

May 31, 2012 · By mapping the boundaries of the torus to a rectangular grid, the classical second derivative of the potential of the charge can be found analytically and the boundary conditions …

Nov 3, 2023 · Always I belived that the torus is in $\mathbb {R}^ {3}$, but reading about the clifford Tori I read that the Clifford torus is in $\mathbb {R}^ {4}$. I don't understand it.