Results 41 to 50 of about 58,187 (222)
Geodesic path planning characteristics of the reconfigurable 1-S robot workspaces for hyperbolic, elliptical, and Euclidean geometries [PDF]
Archives of Control SciencesThe path-planning strategies are implemented by establishing the Riemann curvature tensor and geodesic equations of the 1-S robot workspace. This paper’s originality lies in formulation of the parametric 1-S robotworkspace for path planning, which is ...
Haydar Sahin
doaj +1 more source
Rigorous Formulation of Duality in Gravitational Theories [PDF]
, 2009 In this paper we evince a rigorous formulation of duality in gravitational theories where an Einstein like equation is valid, by providing the conditions under which the Hodge duals (with respect to the metric tensor g) of T^a and R_b^a may be considered
Argurio R Dehouck F +17 more
core +1 more source
Towards an invariant geometry of double field theory [PDF]
, 2013 We introduce a geometrical framework for double field theory in which generalized Riemann and torsion tensors are defined without reference to a particular basis.
Hohm, Olaf, Zwiebach, Barton
core +2 more sources
All higher-curvature gravities as Generalized quasi-topological gravities
Journal of High Energy Physics, 2019 Generalized quasi-topological gravities (GQTGs) are higher-curvature extensions of Einstein gravity characterized by the existence of non-hairy generalizations of the Schwarzschild black hole which satisfy g tt g rr = –1, as well as for having second ...
Pablo Bueno +3 more
doaj +1 more source
Curvature Spinors in Locally Inertial Frame and the Relations with Sedenion
Universe, 2020 In the 2-spinor formalism, the gravity can be dealt with curvature spinors with four spinor indices. Here we show a new effective method to express the components of curvature spinors in the rank-2 4 × 4 tensor representation for the gravity
In Ki Hong +2 more
doaj +1 more source
A Geometric View on Quantum Tensor Networks [PDF]
EPJ Web of Conferences, 2020 Tensor network states and algorithms play a key role in understanding the structure of complex quantum systems and their entanglement properties.
Tsirulev Alexander
doaj +1 more source
Self-Dual Supergravity Theories in 2+2 Dimensions [PDF]
, 1992 Starting from the new minimal multiplet of supergravity in $2+2$ dimensions, we construct two types of self-dual supergravity theories. One of them involves a self-duality condition on the Riemann curvature and implies the equations of motion following ...
Bergshoeff +10 more
core +3 more sources
Almost C(α)-Manifold on M-Projective Curvature Tensor
New Trends in Mathematical Sciences, 2022 In this article, the behavior of the C(α)-manifold satisfying the conditions R(X,Y)W∗ = 0,W∗ (X,Y)R = 0,W∗ (X,Y)Z˜ = 0, W∗ (X,Y)S = 0 and W∗ (X,Y)C˜ = 0 on the M−projective curvature tensor is investigated. The C(α)−Manifold is characterized according to
T. Mert, M. Atc̣eken
semanticscholar +1 more source
CONSTRAINING SPACETIME TORSION WITH THE MOON, MERCURY AND LAGEOS
Acta Polytechnica, 2013 We consider an extension of Einstein General Relativity where, beside the Riemann curvature tensor, we suppose the presence of a torsion tensor. Using a parametrized theory based on symmetry arguments, we report on some results concerning the constraints
Riccardo March +3 more
doaj +1 more source
Some Curvature Problems in Semi-Riemannian Geometry [PDF]
, 2010 In this survey article we review several results on the curvature of semi-Riemannian metrics which are motivated by the positive mass theorem. The main themes are estimates of the Riemann tensor of an asymptotically flat manifold and the construction of ...
AN Bernal +20 more
core +2 more sources