On the explicit characterization of spherical curves in n-dimensional Euclidean space
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| 245 | 0 | 0 | |a On the explicit characterization of spherical curves in n-dimensional Euclidean space |h [Elektronische Daten] |c [H. Kocayigit, N. Yaz, C. Camci, H. H. Hacisalihoglu] |
| 520 | 3 | |a It is known that a curve in 3-dimensional Euclidean space is spherical if and only if where k 1 and k 2 are its first curvature function and second curvature function, respectively. In 1971, integral form of (1) was given [2] as In the present work, a) it is given another method for (2); b) it is shown that the differential equation characterizing a spherical curve in n-dimensional Euclidean space n ≥ 3 can be solved explicitly to express nth curvature function of the curve in terms of its curvatures and its other curvature functions; c) it is shown that integral form of the generalization of (1) gives us (2) as a spherical case for n = 3. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 700 | 1 | |a Kocayigit |D H. |u Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandogan, Ankara, Turkey. E-mail: Hacisali@science.ankara.edu.tr |4 aut | |
| 700 | 1 | |a Yaz |D N. |u Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandogan, Ankara, Turkey. E-mail: Hacisali@science.ankara.edu.tr |4 aut | |
| 700 | 1 | |a Camci |D C. |u Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandogan, Ankara, Turkey. E-mail: Hacisali@science.ankara.edu.tr |4 aut | |
| 700 | 1 | |a Hacisalihoglu |D H. H. |u Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandogan, Ankara, Turkey. E-mail: Hacisali@science.ankara.edu.tr |4 aut | |
| 773 | 0 | |t Journal of Inverse and Ill-posed Problems |d Walter de Gruyter |g 11/3(2003-09-01), 245-254 |x 0928-0219 |q 11:3<245 |1 2003 |2 11 |o jiip | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939403769237033 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939403769237033 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kocayigit |D H. |u Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandogan, Ankara, Turkey. E-mail: Hacisali@science.ankara.edu.tr |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Yaz |D N. |u Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandogan, Ankara, Turkey. E-mail: Hacisali@science.ankara.edu.tr |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Camci |D C. |u Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandogan, Ankara, Turkey. E-mail: Hacisali@science.ankara.edu.tr |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hacisalihoglu |D H. H. |u Ankara University, Faculty of Science, Department of Mathematics, 06100, Tandogan, Ankara, Turkey. E-mail: Hacisali@science.ankara.edu.tr |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Inverse and Ill-posed Problems |d Walter de Gruyter |g 11/3(2003-09-01), 245-254 |x 0928-0219 |q 11:3<245 |1 2003 |2 11 |o jiip | ||
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