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Compute algebra and thurston geometries | ||
| Journal of Hyperstructures | ||
| دوره 5، شماره 1، شهریور 2016، صفحه 41-55 اصل مقاله (96.63 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2016.2653 | ||
| نویسندگان | ||
| Nemat Abazari* 1؛ Masoud Sahraei2 | ||
| 1Department of Mathematics and Applications, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran. | ||
| 2Department of Mathematics and Applications, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, P.O.Box 56199-11367, Ardabil, Iran | ||
| چکیده | ||
| The article illustrates the graphical study of geodesic motion on H3 , H2×R, N il3 and Sol3 using the symbolic and graphical computation of MATLAB platform. | ||
| کلیدواژهها | ||
| Thurston geometries؛ Computer algebra؛ geodesic | ||
| مراجع | ||
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[1] M. Do Carmo, Riemannian Geometry, Birkhauser, Boston, 1993. [2] W. Kuhnel, Differential Geometry: Curves - Surfaces - Manifolds, AMS, 2006. [3] P. Petersen, Riemannian geometry, Second Edition, volume 171 of Graduate Texts in Math-ematics. Springer-Verlag, New York, 2006. [4] P. Scott, The geometries of 3-manifolds, Bull. London Math.Soc., 1983. [5] Thurston, W.P., Three dimensional manifolds,Kleinian groups and hyperbolic geometry, Bull.Amer. Math. Soc. 6. 1982, 357-381. [6] Lopez, R., Munteanu, M. I. Translation minimal surfaces in Sol3, J. Math. Soc.Japan, in press, arXiv:1010.1085v1.2010. [7] Thurston, W. Three-dimensional geometry and topology, Princeton Math. Ser.35, Princenton Univ. Press, Princeton, NJ.1997 [8] Joan Porti,.Geometrization of three manifolds and Perelmans proof, Rev. R.Acad.Cien.Serie A. Mat.VOL. 102 (1), pp. 101125 .2008 [9] Inoguchi, J.-I., Lopez, R., Ioanmunteanu, M. Minimal translation surfaces in the hesenberg group Nil3.2010. [10] Bonahon, F. Geometric Structures on 3-manifolds, Handbook of Geometric Topology (R. Daverman, R. Sher eds.), Elsevier, pp. 93164. 2002. [11] N. Abazari , M, Sahraiy, The use of MATLAB platform to compute some geo-metric quantities of 3-manifold sol3. hyperstructure . 2015 | ||
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