Surfaces family with a common Mannheim geodesic curve
Download or Read eBook Surfaces family with a common Mannheim geodesic curve PDF written by Gülnur ŞAFFAK ATALAY and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle.
| Author | : Gülnur ŞAFFAK ATALAY |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
| ISBN-10 | : |
| ISBN-13 | : |
| Rating | : 4/5 ( Downloads) |
Book Synopsis Surfaces family with a common Mannheim geodesic curve by : Gülnur ŞAFFAK ATALAY
Book excerpt: In this paper, we analyzed surfaces family possessing a Mannheim partner curve of a given curve as a geodesic. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame and derive the necessary and sufficient conditions for coefficients to satisfy both the geodesic and isoparametric requirements. The extension to ruled surfaces is also outlined. Finally, examples are given to show the family of surfaces with common Mannheim geodesic curve.
