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The use of matlab platform to compte some geometric quantities of 3-manifold sol3 | ||
| Journal of Hyperstructures | ||
| دوره 4، شماره 1، شهریور 2015، صفحه 57-68 اصل مقاله (86.68 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2015.2598 | ||
| نویسندگان | ||
| Nemat Abazari* ؛ Masoud Sahraiy | ||
| Department of Mathematics and Applications, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran. | ||
| چکیده | ||
| In this paper we use MATLAB platform [7, 8] to calculate some quantities of 3-manifold sol3 like Christoffel symbols, curvatures, Einstein tensor and plot the geodesics of this space. | ||
| کلیدواژهها | ||
| 3-Manifold sol3؛ Geometric quantities؛ Computer algebra | ||
| مراجع | ||
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[1] M. Do Carmo, Riemannian Geometry, Birkhauser, Boston, (1993). [2] B. D. Hahn and D. T. Valentine, Essential MATLAB for Engineers and Scientists,Elsevier. [3] W. Kuhnel, Differential Geometry: Curves – Surfaces – Manifolds, AMS, (2006). [4] R. Lopez and M. I. Munteanu, Translation minimal surfaces in Sol3, J. Math. Soc. Japan, in press, (2010). [5] S. R. Otto, J. P. Denier, An Introduction to Programming and Numerical Methods in MATLAB, Springer, (2005). [6] P. Petersen, Riemannian geometry, Second Edition, volume 171 of Graduate Texts in Math-ematics. Springer-Verlag, New York, (2006). [7] P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc., (1983). [8] W. Thurston, Three-dimensional geometry and topology, Princeton Math. Ser. 35, Princenton Univ. Press, Princeton, NJ. (1997). | ||
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