Curvature and the Shape of the Universe

Author(s)

Chikako Mese

Document Type

Article

Publication Date

2004

Abstract

We may have an intuitive idea of what it means for surfaces to be curved, but what does it mean for higher dimensional spaces to be curved? In this talk, we will try to quantify curvature on a surface and try to extend this notion to three dimensional spaces. We will show that with an understanding of curvature, we can make sense of a universe which is finite but without boundary.

Disciplines

Mathematics

eCommons Citation

Mese, Chikako, "Curvature and the Shape of the Universe" (2004). Undergraduate Mathematics Day: Past Content. 5.
https://ecommons.udayton.edu/mth_epumd/5