Results 31 to 40 of about 436 (165)

Pseudodifferential Weyl Calculus on (Pseudo-)Riemannian Manifolds [PDF]

Annales Henri Poincaré, 2020
AbstractOne can argue that on flat space $${\mathbb {R}}^d$$Rd, the Weyl quantization is the most natural choice and that it has the best properties (e.g., symplectic covariance, real symbols correspond to Hermitian operators). On a generic manifold, there is no distinguished quantization, and a quantization is typically defined chart-wise.
Dereziński, Jan, Siemssen, Daniel, Latosiński, Adam   +2 more
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Indefinite Kasparov Modules and Pseudo-Riemannian Manifolds [PDF]

Annales Henri Poincaré, 2016
We present a definition of indefinite Kasparov modules, a generalisation of unbounded Kasparov modules modelling non-symmetric and non-elliptic (e.g. hyperbolic) operators. Our main theorem shows that to each indefinite Kasparov module we can associate a pair of (genuine) Kasparov modules, and that this process is reversible.
Van Den Dungen, Koen, Rennie, Adam
openaire   +4 more sources

There Are No Conformal Einstein Rescalings of Pseudo-Riemannian Einstein Spaces with n Complete Light-Like Geodesics

Mathematics, 2019
In the present paper, we study conformal mappings between a connected n-dimension pseudo-Riemannian Einstein manifolds. Let g be a pseudo-Riemannian Einstein metric of indefinite signature on a connected n-dimensional manifold M.
Josef Mikeš, Irena Hinterleitner, Nadezda Guseva   +2 more
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Semisimple weakly symmetric pseudo-Riemannian manifolds [PDF]

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2018
This arXiv version 3 adds a reference to version 2 and tweaks the Introduction ...
Chen, Zhiqi, Wolf, Joseph A
openaire   +5 more sources

Characterizing Affine Vector Fields on Pseudo-Riemannian Manifolds

Axioms
We study the characteristics of affine vector fields on pseudo-Riemannian manifolds and provide tensorial formulas that characterize these vector fields.
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

Quasi-Statistical Schouten–van Kampen Connections on the Tangent Bundle

Mathematics, 2023
We determine the general natural metrics G on the total space TM of the tangent bundle of a Riemannian manifold (M,g) such that the Schouten–van Kampen connection ∇¯ associated to the Levi-Civita connection of G is (quasi-)statistical.
Simona-Luiza Druta-Romaniuc
doaj   +1 more source

The Bundle of Tensor Densities and Its Covariant Derivatives

Axioms
We construct the smooth vector bundle of tensor densities of arbitrary weight in a coordinate-independent way. We prove the general existence of a globally smooth tensor density field, as well as the existence of a globally smooth metric density for a ...
Joan Grandes Umbert, Tom Mestdag
doaj   +1 more source

Umbilicity of (Space-Like) Submanifolds of Pseudo-Riemannian Space Forms [PDF]

Journal of Sciences, Islamic Republic of Iran, 2009
We study umbilic (space-like) submanifolds of pseudo-Riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo Euclidean space and relate this notion to umbilicity.
S.M.B. Kashani
doaj  

Asymptotics of the d’Alembertian with potential on a pseudo-Riemannian manifold [PDF]

Proceedings of the American Mathematical Society, 1999
Let ◻ \square be the Laplace-d’Alembert operator on a pseudo ...
Branson, Thomas, Ólafsson, Gestur
openaire   +2 more sources

The Soliton-Ricci Flow with variable volume forms

Complex Manifolds, 2016
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
doaj   +1 more source