Results 131 to 140 of about 436 (165)

Contraforms on Pseudo-Riemannian Manifolds

2003
On the exterior algebra of forms of a pseudo-Riemannian manifold M there acting three notable operators: exterior differential d, the Hodge operator * and the codifferential δ. There are basic in defining the de Rahm cohomology and for the theory of harmonic forms (Hodge theory) .
M. Anastasiei, Gabriela Ciobanu, I. Gottlieb   +2 more
openaire   +1 more source

On the biharmonicity of vector fields on pseudo-Riemannian manifolds

2023
Summary: In this article, we deal with the biharmonicity of a vector field \(X\) viewed as a map from a pseudo-Riemannian manifold \((M, g)\) into its tangent bundle \(TM\) endowed with the Sasaki metric \(g_S\). Precisely, we characterize those vector fields which are biharmonic maps, and find the relationship between them and biharmonic vector fields.
ÖZKAN, MUSTAFA, Alem, Amina, Kacimi, Bouazza   +2 more
openaire   +2 more sources

Symmetries and pseudo-Riemannian manifolds

Reports on Mathematical Physics, 1988
Analogues of the classical Bochner-Yano and Hopf-Bochner theorems for closed Riemannian manifolds are investigated in the case of noncompact pseudo-Riemannian spaces. It turns out that the hyperbolic versions of these theorems are much weaker, i.e. the relationship between curvature, topology and symmetry (the Killing vector fields) is not so strong as
openaire   +1 more source

Soliton Excitations in Terms of Pseudo-Riemannian Manifolds

physica status solidi (b), 1985
AbstractAdvantages are shown of description of one‐dimensional ferromagnetic soliton excitations in an anisotropic medium in terms of a pseudo‐Riemannian manifold. The soliton appears then as a solution of a linear equation of motion of the Schrödinger type in an isotropic curved space of observations equipped with a pseudo‐Riemannian metric ...
openaire   +1 more source

3. Pseudo-Riemannian manifolds

2002
3.1 Affine connections 3.2 The Levi-Civita connection 3.3 Tubular neighborhood 3.4 Curvature 3.5 E.
openaire   +1 more source

Special homogeneous structures on pseudo-Riemannian manifolds

2008
The authors investigate homogeneous pseudo-Riemannian structures. They focus on a particular class of homogeneous structures named \textit{special}, and they show that all homogeneous structures on a compact orientable pseudo-Riemannian are special. Examples of such structures are the pseudo-Riemannian structures oft he class \(\mathcal T\)\(_2\oplus ...
B. DE LEO, MARINOSCI, Rosa Anna
openaire   +2 more sources

Almost α-Kenmotsu Pseudo-Riemannian Manifolds with CR-Integrable Structure

Symmetry, 2023
Håkan ÖZTÜRK, Sermin ÖZTÜRK
exaly  

Almost *-η-Ricci solitons on Kenmotsu pseudo-Riemannian manifolds

Analysis (Germany), 2022
V Venkatesha
exaly  

Infrared Divergence of a Scalar Quantum Field Model on a Pseudo Riemannian Manifold

Interdisciplinary Information Sciences, 2009
Christian Gérard, Annalisa Panati, Akito Suzuki   +2 more
exaly  

Pseudo-Riemannian geodesics and billiards

Advances in Mathematics, 2009
Boris Khesin, Serge Tabachnikov
exaly