Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space
Download or Read eBook Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space PDF written by Gülnur Saffak Atalay and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle.
| Author | : Gülnur Saffak Atalay |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
| ISBN-10 | : |
| ISBN-13 | : |
| Rating | : 4/5 ( Downloads) |
Book Synopsis Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space by : Gülnur Saffak Atalay
Book excerpt: In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop 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 coefficents to satisfy both the geodesic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache geodesic curve.
