Results 21 to 30 of about 888,449 (207)
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Edwin J. Beggs, Shahn Majid
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Geometry without topology as a new conception of geometry
A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points).
Yuri A. Rylov
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The Geometry of Riemannian Spaces [PDF]
The primary purpose of this paper is to expose, in as simple and clear a form as is possible, the fundamentals of the geometric structure of a Riemannian space. It is a general truth that the methods which pierce most deeply into the heart of a geometric theory are invariant methods, that is, methods which are independent of the choice of the ...
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On Cartan torsion of 4-dimensional Finsler manifolds [PDF]
There are several non-Riemannian curvatures in Finsler geometry which show the complexity of Finsler geometry with respect to Riemannian geometry. Amon these quantities, the Cartan and mean Cartan torsion have very important and brilliant positions.
Akbar Tayebi
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Semi-Slant Submersions from Almost Product Riemannian Manifolds
In this paper, we introduce semi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give some examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion.
Gündüzalp Yılmaz
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Teleparallel Gravity: Foundations and Observational Constraints—Editorial
Einstein’s formulation of general relativity as a theory based on the geometry of curvature was a necessity due to Riemannian geometry being the only fully developed framework at the time [...]
Sebastian Bahamonde, Jackson Levi Said
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Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection
In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
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Structure Theorem for Riemannian surfaces with arbitrary curvature [PDF]
15 pages, 3 figures.-- MSC2000 codes: 53C20, 53C22, 58A99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0090Previously presented as Poster at: X Encuentros de Análisis Real y Complejo (XEARCO'07, Palma de Mallorca, Spain, May 10-13, 2007 ...
Tourís, Eva +2 more
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A spinorial energy functional: Critical points and gradient flow [PDF]
On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dimM C 3, are precisely the pairs (g,φ) consisting of a Ricci-flat Riemannian metric g together with a parallel g-spinor φ.
Hartmut Weiss +5 more
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THE EINSTEIN GENERALIZED RIEMANNIAN GEOMETRY [PDF]
It is shown that the generalized Hiemann tensor can be derived from Einstein's equations that relate the nonsymmetric covariant metric tensor of the space-time continuum of four dimensions and the contravariant tensor. (C.E.S.)
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