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On Special Curves According To Darboux Frame In The Three Dimensional Lorentz Space


On Special Curves According To Darboux Frame In The Three Dimensional Lorentz Space
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On Special Curves According To Darboux Frame In The Three Dimensional Lorentz Space


On Special Curves According To Darboux Frame In The Three Dimensional Lorentz Space
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Author : H. S. Abdel-Aziz
language : en
Publisher: Infinite Study
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On Special Curves According To Darboux Frame In The Three Dimensional Lorentz Space written by H. S. Abdel-Aziz and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In the light of great importance of curves and their frames in many different branches of science, especially differential geometry as well as geometric properties and the uses in various fields, we are interested here to study a special kind of curves called Smarandache curves in Lorentz 3-space.



The Smarandache Curves On 2 1 And Its Duality On 2o


The Smarandache Curves On 2 1 And Its Duality On 2o
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Author : Atakan Tugkan Yakut
language : en
Publisher: Infinite Study
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The Smarandache Curves On 2 1 And Its Duality On 2o written by Atakan Tugkan Yakut and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


We introduce special Smarandache curves based on Sabban frame on 𝑆2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.



Computation Of Smarandache Curves According To Darboux Frame In Minkowski 3 Space


Computation Of Smarandache Curves According To Darboux Frame In Minkowski 3 Space
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Author : H.S. Abdel-Aziz
language : un
Publisher: Infinite Study
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Computation Of Smarandache Curves According To Darboux Frame In Minkowski 3 Space written by H.S. Abdel-Aziz and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space E 3 1. Using the usual transformation between Frenet and Darboux frames, we investigate some special Smarandache curves for a given timelike curve lying fully on a timelike surface. Finally, we defray a computational example to confirm our main results.



Computation Of Smarandache Curves According To Darboux Frame In Minkowski 3 Space


Computation Of Smarandache Curves According To Darboux Frame In Minkowski 3 Space
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Author : H.S. Abdel-Aziz
language : en
Publisher: Infinite Study
Release Date :

Computation Of Smarandache Curves According To Darboux Frame In Minkowski 3 Space written by H.S. Abdel-Aziz and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space E.



Scientia Magna Vol 5 No 1 2009


Scientia Magna Vol 5 No 1 2009
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
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Scientia Magna Vol 5 No 1 2009 written by Zhang Wenpeng and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Papers on Smarandache least common multiple ratio, generalized galilean transformations and dual quaternions, the instantaneous screw axes of two parameter motions in Lorentzian space, a new additive function and the F. Smarandache function, cyclic dualizing elements in Girard quantales, and other topics. Contributors: R. Maragatham, C. Prabpayak, U. Leerawat, M. Karacan, L. Kula, T. Veluchamy, P. Sivakkumar, L. Torkzadeh, A. Saeid, and others.



Special Equiform Smarandache Curves In Minkowski Space Time


Special Equiform Smarandache Curves In Minkowski Space Time
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Author : E.M. Solouma
language : un
Publisher: Infinite Study
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Special Equiform Smarandache Curves In Minkowski Space Time written by E.M. Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve on a spacelike surface M in Minkowski 3-space. Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves. Moreover, we give some properties to these curves when the curve has constant curvature or it is a circular helix. Finally, we give an example to illustrate these curves.



Ruled Surfaces Generated By Special Curves In Eucleadean 3 Space


Ruled Surfaces Generated By Special Curves In Eucleadean 3 Space
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Author : Ahmat T. Ali
language : un
Publisher: Infinite Study
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Ruled Surfaces Generated By Special Curves In Eucleadean 3 Space written by Ahmat T. Ali and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this paper, a family of ruled surfaces generated by some special curves using a Frenet frame of Eucleadean 3-Spase is investigated.



Mathematical Combinatorics International Book Series Vol 2 2020


Mathematical Combinatorics International Book Series Vol 2 2020
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Author : Linfan Mao
language : en
Publisher: Infinite Study
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Mathematical Combinatorics International Book Series Vol 2 2020 written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


The mathematical combinatorics is a subject that applying combinatorial notions to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr. Linfan MAO on mathematical sciences. The International J. Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.



Special Timelike Smrandache Curves In Minkowski 3 Space


Special Timelike Smrandache Curves In Minkowski 3 Space
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Author : E. M. Solouma
language : un
Publisher: Infinite Study
Release Date :

Special Timelike Smrandache Curves In Minkowski 3 Space written by E. M. Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In Smarandache geometry, a regular non-null curve in Minkowski 3-space, whose position vector is collected by the Frenet frame vectors of other regular non-null curve, is said to be Smarandache curve.



The Global Nonlinear Stability Of The Minkowski Space


The Global Nonlinear Stability Of The Minkowski Space
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Author : Demetrios Christodoulou
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14

The Global Nonlinear Stability Of The Minkowski Space written by Demetrios Christodoulou and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.


The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.