proem

Physics and Astronomy

a year ago

Complete classification of structures on 3D manifolds paves way for new geometrical applications.

arXiv (Cornell University)

Homogeneous Structures on $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$

Yu Ohno

Paper Summary

Physics and Astronomy

a year ago

Complete classification of structures on 3D manifolds paves way for new geometrical applications.

arXiv (Cornell University)

Homogeneous Structures on $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$

Yu Ohno

Paper Summary

The article determines all the different ways structures can be arranged on certain curved surfaces with an extra dimension. By studying these structures, the researchers have now identified all the possible ways they can be organized on these specific types of surfaces. This helps us understand how these surfaces can be classified and compared to each other.