Recognition of paths and curves in the 2-dimensional Euclidean geometry

Author:

ÖREN İdris,KHADJİEV Djavvat

Publisher

International Electronic Journal of Geometry, Person (Kazim ILARSLAN)

Reference1 articles.

1. [1] Aminov, Yu., Differential Geometry and Topology of Curves, CRC Press, New York, 2000. [2] Aripov, R. G., Khadjiev (Khadzhiev) D., The complete system of global differential and integral invariants of a curve in Euclidean geometry, Russian Mathematics (Iz VUZ), 51, No. 7, 1-14 (2007). [3] Berger, M., Geometry I, Springer-Verlag, Berlin Heidelberg, 1987. [4] Gibson, C. G., Elementary Geometry of Differentiable Curves. An Undergraduate Introduction, Cambridge University Press, 2001. [5] Gray,A., Abbena, E. and Salamon,S., Modern Differential Geometry of Curves and surfaces with Mathematica, Third edition. Studies in Advanced Mathematics. Chapman and Hall/CRC, Boca Raton, FL, 2006 [6] Guggenheimer, H. W., Differential Geometry, Dower Publicatiýns, INC., New York, 1977. [7] Khadjiev, D., Application of the Invariant Theory to the Differential Geometry of Curves, "Fan" Publisher, Tashkent, 1988. [in Russian]. [8] Khadjiev, D., Complete systems of differential invariants of vector fields in a Euclidean space, Turkish J. Math., 34, (2010) 543-560. [9] Khadjiev, D., On invariants of immersions of an n-dimensional manifold in an n-dimensional pseudo-euclidean space, Journal of Nonlinear Mathematical Physics, 17, Supp 01 (2010) 49-70. [10] Khadjiev D., Pek¸sen Ö., The complete system of global differential and integral invariants of equiaffne curves, Diff. Geom. And Appl., 20 (2004) 168-175. [11] Khadjiev, D., Ören, ˙I., Pek¸sen, Ö., Generating systems of differential invariants and the theorem on existence for curves in the pseudo-Euclidean geometry, Turkish J. Math., 37 (2013) 80-94. [12] Khadjiev, D., Ören, ˙I., Pek¸sen, Ö., Global invariants of path and curves for the group of all linear similarities in the two-dimensional Euclidean space, Int.J.Geo.Modern Phys,15(6),(2018),1-28. [13] Mundy, J.L., Zisserman, A. , Geometric Invariance in Computer Vision, Artificial Intelligence, MIT Press, Cambridge, 1992. [14] Mundy, J.L., Zisserman, A., Forsyth, D., Application of Invariance in Computer Vision, Lecture Notes in Computer Science, Springer, Berlin, 1992. [15] Khadjiev, D., Ören, ˙I., Global invariants of paths and curves for the group of orthogonal transformations in the two-dimensional Euclidean space, An. St. Univ. Ovidius Constanta, 27(2),(2019),37-65. [16] Montel, S., Ros, A., Curves and Surfaces, American Mathematical Society, 2005. [17] Pek¸sen, Ö., Khadjiev, D., On invariants of null curves in the pseudo-Euclidean geometry. Diff. Geom. And Appl. 29 (2011) 183-187. [18] Pek¸sen, Ö., Khadjiev, D., Ören, ˙I., Invariant parametrizations and complete systems of global invariants of curves in the pseudo-Euclidean geometry, Turkish J. Math., 36 (2012) 147-160. [19] Spivak, M., Comprehensive Introduction to Differential Geometry, Vol. 2 Publish Or Perish, INC., Houston, Texas, 1999. [20] Toponogov, V. A., Differential Geometry of Curves and Surfaces, Birkhaüser, Boston, 2006.

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Global Invariants of Objects in two-Dimensional Minkowski Space;Journal of Dynamical Systems and Geometric Theories;2022-07-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3