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Geometric properties of canal surfaces

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2012
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Abstract (EN)

This thesis consist of four chapters.In the first chapter, the basic definitions and theorems are given related to this subject.In the second chapter, canal surfaces, geometric properties of canal surface are given. Shape operator, umbilic points, lines of principal curvature, asimptotic lines of canal surface are found. Weingarten canal surface and linear Weingarten canal surface are studied. Furthermore, focal surfaces, parallel surfaces, singülar points, geodesics of canal surface are found.In the third chapter, differential properties of canal surface are given.In the fourth chapter, tubes as canal surfaces, surface of revolution as canal surfaces, canal surfaces with center curve that is a plane curve are given.Key Words: Canal surface, tubes , tubular surface

Author

Fatma Bozkurt

How to Cite

Fatma Bozkurt (Master Thesis). Geometric properties of canal surfaces, 2012, Uşak University.

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