Results 21 to 30 of about 99,297 (282)

Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023
An important subclass among homogeneous spaces is formed by isotropically-faithful homogeneous spaces, in particular, this subclass contains all homogeneous spaces admitting invariant affine connection.
Mozhey, Natalya Pavlovna
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(In)equivalence of metric-affine and metric effective field theories

European Physical Journal C: Particles and Fields, 2022
In a geometrical approach to gravity the metric and the (gravitational) connection can be independent and one deals with metric-affine theories. We construct the most general action of metric-affine effective field theories, including a generic matter ...
Gianfranco Pradisi, Alberto Salvio
doaj   +1 more source

Professor Oldřich Kowalski passed away

Дифференциальная геометрия многообразий фигур, 2021
This paper is dedicated to the me­mo­ry of Professor Kowalski who was one of the leading re­sear­chers in the field of dif­fe­ren­tial geometry and especially Rie­mannian and affine geometry.
M. T. K. Abbass, J. Mikeš, A. Vanžurová, C. L. Bejan, O.O. Belov   +4 more
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Affine Dynamics with Torsion [PDF]

, 2016
In this study, we give a thorough analysis of a general affine gravity with torsion. After a brief exposition of the affine gravities considered by Eddington and Schr\"{o}dinger, we construct and analyze different affine gravities based on the ...
Gultekin, Kemal
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Eddington-inspired-Born–Infeld tensorial instabilities neutralized in a quantum approach

European Physical Journal C: Particles and Fields, 2020
The recent direct detection of gravitational waves has highlighted the huge importance of the tensorial modes in any extended gravitational theory. One of the most appealing approaches to extend gravity beyond general relativity is the Eddington-inspired-
Imanol Albarran, Mariam Bouhmadi-López, Che-Yu Chen, Pisin Chen   +3 more
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Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces

Mathematics, 2020
In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections onto 2-, 3-, and m- (Ricci-)
Volodymyr Berezovski, Yevhen Cherevko, Irena Hinterleitner, Patrik Peška   +3 more
doaj   +1 more source

Generalized Affine Connections Associated with the Space of Centered Planes

Mathematics, 2021
Our purpose is to study a space Π of centered m-planes in n-projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space Π are set in the generalized fiberings.
Olga Belova
doaj   +1 more source

The dynamics of metric-affine gravity

, 2011
Metric-affine theories of gravity provide an interesting alternative to General Relativity: in such an approach, the metric and the affine (not necessarily symmetric) connection are independent quantities. Furthermore, the action should include covariant
Liberati, Stefano, Sotiriou, Thomas P., Vitagliano, Vincenzo   +2 more
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Half-Symmetric Connections of Generalized Riemannian Spaces

Axioms
In this article, we generalize Yano’s concept of a half-symmetric affine connection. With respect to this generalization, we obtain five linearly independent curvature tensors. In the following, we examine which special kinds of affine connections may be
Marko Stefanović, Mića S. Stanković, Ivana Djurišić, Nenad Vesić   +3 more
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On the nonsymmetric purely affine gravity [PDF]

, 2007
We review the vacuum purely affine gravity with the nonsymmetric connection and metric. We also examine dynamical effects of the second Ricci tensor and covariant second-rank tensors constructed from the torsion tensor in the gravitational Lagrangian ...
Antoci S., Cartan É., Catto D., Chruściel P. T., de Sabbata V., Eddington A. S., Einstein A., Einstein A., Einstein A., Einstein A., Einstein A., Einstein A., Goenner H. F. M., Hilbert D., Hlavatý V., Hlavatý V., Hlavatý V., Hlavatý V., Hlavatý V., Hlavatý V., Hlavatý V., Hély J., Hély J., Infeld L., Lichnerowicz A., Lord E. A., Lorentz H. A., Lorentz H. A., Lorentz H. A., Lorentz H. A., NIKODEM J. POPŁAWSKI, Papapetrou A., Schrödinger E., Schrödinger E., Schrödinger E., Schrödinger E., Schrödinger E., Schrödinger E., Schrödinger E., Schrödinger E., Schrödinger E., Schrödinger E., Schrödinger E., Tonnelat M. A., Treder H. J., Weyl H.   +45 more
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