논문KCI 등재
On the dynamical hyperbolic 3 spaces and their deformation retracts
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In this article we will introduce a new type of hyperbolic 3-spac.Namely,dynamical hyperbolic 3-spac .The relations between the foldings and the deformatin retracts on dynamical hyperbolic 3-space are obtained. Many types of dynamical retractions on dynamical hyperbolic 3-spac are deduced. The end limits of dynamical hyperbolic n-spac are presented.
Abstract
In this article we will introduce a new type of hyperbolic 3-spac.Namely,dynamical hyperbolic 3-spac .The relations between the foldings and the deformatin retracts on dynamical hyperbolic 3-space are obtained. Many types of dynamical retractions on dynamical hyperbolic 3-spac are deduced. The end limits of dynamical hyperbolic n-spac are presented.
참고문헌 (11)
- M.Abu-Saleem, "On dynamical chaotic de sitter spaces and their deformation retracts", Proceedings of the Jangjeon Mathematical society, 14, pp.231~238 (2011)
- M. ABU-SALEEM, "CONDITIONAL FRACTIONAL FOLDING OF A MANIFOLD AND THEIR FUNDAMENTAL GROUP", Advanced Studies in Contemporary Mathematics, 20(2), pp.271~277 (2010), 장전수학회
- M.Abu-Saleem, "Folding on the chaotic Cartesian product of manifolds and their fundamental group", Tamkang journal of mathematics, 39(4), pp.353~361 (2008)
- Abu-Saleem, "DYNAMICAL MANIFOLD AND THEIR FUNDAMENTAL GROUP", Advanced Studies in Contemporary Mathematics, 20(1), pp.125~131 (2010), 장전수학회
- G.D. Birkhoof, "Dynamical systems", Bulletin of the American Mathematics Society, 37(1), pp.88~121 (2000)
- RL.Devaney, "An introduction to chaotic dynamical system" (1989), Addison-Wesley
- J.Griffiths, "Exact space-times in Einstein, In General relativity" (2009), Cambridge university press
- W. S. Massey, "Algebraic topology: An introduction, Harcourt Brace and world" (1967)
- K. S. Sibirsky, "Introduction to topological dynamics" (1975), Noordhoff Int. Pub
- S.A. Robertson, "Isometric folding of Riemannian manifolds", Proc. Roy. Soc Edinburgh, 77, pp.275~289 (1977)
- S. Wiggins, "Introduction to applied non linear dynamical system and chaos" (1997), Spring Verlag
관련 논문AI추천
On dynamical chaotic de Sitter spaces and their deformation retractsM. Abu-Saleem장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호DYNAMICAL MANIFOLD AND THEIR FUNDAMENTAL GROUPAbu-Saleem장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호Foldings and retractions of manifolds and their fundamental groupsA. E. El-Ahmady, H. Rafat, M. Abu-Saleem, M. El-Ghoul장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2007 · 제10권 제1호Folding on the Cartesian product of manifolds and their fundamental groupsA. E. El-Ahmady, M. Abu-Saleem, M. El-Ghoul장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제1호Some hyperbolic space forms with few generated fundamental groupsAgnese I. Telloni, Alberto Cavicchioli, Emil Molnar대한수학회 · 대한수학회지2013 · 제50권 제2호Quasihyperbolic metric and Gromov hyperbolic spaces IIHongjun Liu, Ling Xia, Shasha Yan대한수학회 · 대한수학회보2025 · 제62권 제5호
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