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REDUCE Program for the Calculation of the Geometrical Characteristics of Compactified Multidimensional Riemannian Space

机译：计算复杂多维黎曼空间几何特征的简化程序

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The REDUCE program for calculation of the connection, curvature, Ricci tensor etc. for the group quotient space is described. The knowledge of these quantities is necessary for creation of unified models of fundamental interactions in the framework of multidimensional generally covariant field theories. 12 refs.; 1 tab. (Atomindex citation 18:010599)

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年度 1985
页码 1-17
总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Ricci Tensor; Riemann Space; Computer Calculations; Curvilinear coordinates; Programming Languages; R Codes; Yang-Mills Theory;

机译：Ricci Tensor; Riemann空间;计算机计算;曲线坐标;编程语言; R代码; Yang-mills理论;

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专利

1. Computer algebra in gravity: Reduce-Excalc programs for (non-) Riemannian space-times. I [J] . Jose Socorro, Alfredo Macias, Friedrich W. Hehl Computer physics communications . 1998,第2a3期

机译：重力计算机代数：用于（非）黎曼时空的Reduce-Excalc程序。一世
2. The Use of Symbolic Calculations in Post-Riemannian and Multidimensional Theories of Gravity [J] . O. V. Babourova, R. S. Kostkin, B. N. Frolov Gravitation and Cosmology: G&C . 2011,第4期

机译：符号计算在后黎曼和多维重力理论中的应用
3. Geometric Cycles in Compact Riemannian Locally Symmetric Spaces of Type IV and Automorphic Representations of Complex Simple Lie Groups [J] . Paul Pampa Journal of Lie theory . 2020,第3期

机译：紧凑型riemannian局部对称空间的几何周期，以及复杂的简单谎言组的自动表示
4. RECURSIVE COMBINATORIAL ASPECTS OF COMPACTIFIED MODULI SPACES [C] . Lucia Caporaso International Congress of Mathematicians . 2018

机译：递归组合的压实模型空间的方面
5. Geometric mapping theory of the Heisenberg group, sub-Riemannian manifolds, and hyperbolic spaces [D] . Lukyanenko, Anton 2014

机译：海森堡群，次黎曼流形和双曲空间的几何映射理论
6. Einsteins equations with an embedding-dependent energy-momentum tensor for the compactified Minkowski time space and their relationship to the conformal action of SO(44) on S3 x S3. [O] . W R Biedrzycki 1991

机译：带有紧致的Minkowski时空的依赖于能量动量张量的爱因斯坦方程及其与SO（44）在S3 x S3上的共形作用的关系。
7. A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows [O] . Shao, Yuanzhen 2013

机译：一系列参数依赖的微分同态作用于功能黎曼流形上的空间和几何流动的应用
8. Geometrical aspects of quantum mechanics in compactified momentum space [R] . Budinich, P. 1996

机译：紧凑动量空间中量子力学的几何方面

REDUCE Program for the Calculation of the Geometrical Characteristics of Compactified Multidimensional Riemannian Space

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