Results 21 to 30 of about 9,754 (219)

Geometry without topology as a new conception of geometry

International Journal of Mathematics and Mathematical Sciences, 2002
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
doaj   +1 more source

On the Geroch-Traschen class of metrics [PDF]

, 2009
We compare two approaches to semi-Riemannian metrics of low regularity. The maximally 'reasonable' distributional setting of Geroch and Traschen is shown to be consistently contained in the more general setting of nonlinear distributional geometry in the
Steinbauer, R., Vickers, J.A.
core   +1 more source

On Cartan torsion of 4-dimensional Finsler manifolds [PDF]

Journal of Hyperstructures
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
doaj   +1 more source

Riemannian Maps From Almost Hermitian Manifolds [PDF]

, 2017
In this chapter, we study Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. In section 1, we study holomorphic Riemannian maps as a generalization of holomorphic submersions and obtain a characterization of such maps. In section 2,
Sahin, Bayram, Bayram Şahin
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Semi-Slant Submersions from Almost Product Riemannian Manifolds

Demonstratio Mathematica, 2016
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
doaj   +1 more source

Teleparallel Gravity: Foundations and Observational Constraints—Editorial

Universe, 2021
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
doaj   +1 more source

A spinorial energy functional: Critical points and gradient flow [PDF]

, 2012
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, Ammann, Bernd, Bernd Ammann, Weiss, Hartmut, Frederik Witt, Witt, Frederik   +5 more
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Riemannian geometry of Hartogs domains [PDF]

, 2009
This paper contains several results on the Riemannian geometry of the so called Hartogs ...
LOI, ANDREA, ZUDDAS, FABIO, ZUDDAS, F., Loi, A, DI SCALA A. J, Di Scala, Antonio Jose', Zuddas, F   +6 more
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Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection

Journal of New Theory, 2021
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
doaj   +1 more source

Riemannian Maps [PDF]

, 2017
In this chapter, we study Riemannian maps between Riemannian manifolds. In section 1, we define Riemannian maps and give the main properties of such maps. In section 2, we obtain Gauss-Weingarten-like formulas and then we obtain Gauss, Codazzi, and Ricci
Sahin, Bayram, Bayram Şahin
core   +1 more source