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El-Ghoul, M., El-Abed, A.. (1393). On 1-Manifolds and 2-Manifolds. , 38(3.1), 373-377. doi: 10.22099/ijsts.2014.2436
M. El-Ghoul; A. El-Abed. "On 1-Manifolds and 2-Manifolds". , 38, 3.1, 1393, 373-377. doi: 10.22099/ijsts.2014.2436
El-Ghoul, M., El-Abed, A.. (1393). 'On 1-Manifolds and 2-Manifolds', , 38(3.1), pp. 373-377. doi: 10.22099/ijsts.2014.2436
El-Ghoul, M., El-Abed, A.. On 1-Manifolds and 2-Manifolds. , 1393; 38(3.1): 373-377. doi: 10.22099/ijsts.2014.2436

On 1-Manifolds and 2-Manifolds

Iranian Journal of Science
مقاله 11، دوره 38، شماره 3.1، دی 2014، صفحه 373-377    اصل مقاله (1.07 M)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2436
نویسندگان
M. El-Ghoul1؛ A. El-Abed* 2
1Permanent Address Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
2Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, KSA
چکیده
In this work, different types of chaotic 1-manifolds which lie on the chaotic spheres or on a torus are introduced.
Some types of retractions of the chaotic spheres affect on the 1-chaotic systems, and other types of retractions
occur to the geometric manifold but make the 1-chaotic manifold invariant. The existed retractions are discussed
through new proved theorems. Also we construct different types of folding of 1-chaotic manifolds which are
homeomorphic to S1and their indicatrixes.
کلیدواژه‌ها
Chaotic؛ manifolds؛ folding؛ retraction؛ geodesics
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