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Register a new userTensors in curved coordinates and curvature tensor in spaces of Riemann
التنسورات في الإحداثيات المنحنية و تنسور التقوس في فضاءات ريمان
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سامي الحسين( باحث )
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في هذا البحث نعرف التنسورات و فضاء ريمان و الفضاءات ذات التقوس الثابت, و نقدم دراسة لبعض الحالات المرتبطة بموضوع البحث , الوظيفة الأساسية هي دراسة العلاقات التي تبقى صالحة عندما يتم التغير من منظومة إحداثيات إلى منظومة أخرى .
In this paper, we define tensors and space Riemann spaces and fixed curvature, and offer a study of some cases associated with the search topic, the basic function is to study the relationships that remain valid when the coordinates system change to another system.
References used
(Sinyukov, N. S. geodesic mappings of Riemannian spaces. Moscow, Nauka, 256P.(1979
Yano K, Nagauo.T. Some theoremson Projective and conformal tuausfor mations// Konikl. Nederl. Acad. West. -1957.- A60, N04.- P.4SI-4S8
Yano K. Concircular geometry. I-IV Proc. Imp. Acad. Tokyo, 1940
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The thesis topic discusses the geometry of subspaces of Riemann spaces, and it is a work prepared for obtaining a master's degree in mathematics.
Our study falls into three chapters that include a reference study and then a study of the immersion issue and the geometry of subspaces from Riemann spaces.
Search includes the geodetic study local network triangulation real estate in Slenfeh
area, and propose a solution for the local network linking public real estate network in
Syria based on a comparison of the 2D-Transformation results so as to cho
ose the optimal
conversion which avoids the occurrence of interactions between regions and schemes real
estate and reduces distortions network after conversion (shift, rotation, scale). At first been
touched to date geodesic network set up in Slenfeh region and the stages of execution, and
the problems of engineering, and then to the transformation methods used in the link, and
apply them to the network, and choose the best conversion, and set parameters optimal
transformation, have been proposed solution depends on the network is divided into three
segments so that Network least deformation resulting from the transformation in each
sector.
A computer program that has been prepared for the implementation of the
transformation and linking local grid points by using the C # programming language.
It has been verified the resultant transformation parameters by comparing linear
measurements calculated from coordinates resulting from the transformation with linear
measurements in the network observation records, and execution field measurements of
some of the points and calculate its coordinates and compare it with the coordinates
calculating fromtransformation.
This thesis discusses the Geodesic Mapping in Riemannian Spaces, Which is prepared to get the Master's degree in Mathematics- Mathematical analysis .
This research seeks to explore the role of deviation in the poetics
of operative language on the one hand, its revelation of the artistry
of thrill and surprise in terms of rhetorical images on the other hand,
through analysing the poetic text which starts from actual language
towards the spaces of rhetorical images, and combines the internal
and the external as the text suggests.
The main objective of this research is to develop an
arithmetic model for transformations between geographic and
State Plane Coordinate within the three types of Conformal
Syrian Conical projection (tangent, secant and Semiconformal),
In order to
enable all Specialists and surveyors to
carry out direct and reverse transformations of horizontal
coordinates of the points without returning to any competent
authorities to avoid any administrative and computational
complexities.
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