Date of Award
2006
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Wang, Wenxiang
Second Advisor
Sarli, John
Third Advisor
Stanton, Charles
Abstract
From fundamental forms to curvatures and geodesics, differential geometry has many special theorems and applications worth examining. Among these, the Gauss-Bonnet Theorem is one of the well-known theorems in classical differential geometry. It links geometrical and topological properties of a surface. The thesis introduced some basic concepts in differential geometry, explained them with examples, analyzed the Gauss-Bonnet Theorem and presented the proof of the theorem in greater detail. The thesis also considered applications of the Gauss-Bonnet theorem to some special surfaces.
Recommended Citation
Broersma, Heather Ann, "Gauss-Bonnet formula" (2006). Theses Digitization Project. 3044.
https://scholarworks.lib.csusb.edu/etd-project/3044
