Geodesic on surfaces of constant Gaussian curvature
The goal of the thesis is to study geodesics on surfaces of constant Gaussian curvature. The first three sections of the thesis is dedicated to the definitions and theorems necessary to study surfaces of constant Gaussian curvature. The fourth section contains examples of geodesics on these types of...
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| Format: | Others |
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CSUSB ScholarWorks
2006
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| Online Access: | https://scholarworks.lib.csusb.edu/etd-project/3045 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=4081&context=etd-project |
| Summary: | The goal of the thesis is to study geodesics on surfaces of constant Gaussian curvature. The first three sections of the thesis is dedicated to the definitions and theorems necessary to study surfaces of constant Gaussian curvature. The fourth section contains examples of geodesics on these types of surfaces and discusses their properties. The thesis incorporates the use of Maple, a mathematics software package, in some of its calculations and graphs. The thesis' conclusion is that the Gaussian curvature is a surface invariant and the geodesics of these surfaces will be the so-called best paths. |
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