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Two-spinor tetrad and Lie derivatives of Einstein-Cartan-Dirac fields

Daniel Canarutto (2018)

Archivum Mathematicum

An integrated approach to Lie derivatives of spinors, spinor connections and the gravitational field is presented, in the context of a previously proposed, partly original formulation of a theory of Einstein-Cartan-Maxwell-Dirac fields based on “minimal geometric data”: the needed underlying structure is determined, via geometric constructions, from the unique assumption of a complex vector bundle $S M$ with 2-dimensional fibers, called a $2$ -spinor bundle. Any further considered object is assumed to...

Über die Konstruktion von metrisch-affinen Räumen von rekurrenter Krümmung

Arthur Moór (1972)

Colloquium Mathematicae

Une approche pédestre de quelques aspects locaux des variétés de Cauchy-Riemann

Marc Herzlich (2008/2009)

Séminaire de théorie spectrale et géométrie

Universal isomonodromic deformations of meromorphic rank 2 connections on curves

Viktoria Heu (2010)

Annales de l’institut Fourier

We consider tracefree meromorphic rank 2 connections over compact Riemann surfaces of arbitrary genus. By deforming the curve, the position of the poles and the connection, we construct the global universal isomonodromic deformation of such a connection. Our construction, which is specific to the tracefree rank 2 case, does not need any Stokes analysis for irregular singularities. It is thereby more elementary than the construction in arbitrary rank due to B. Malgrange and I. Krichever and it includes...

Variationsprobleme mit einem Levi-Civita Zusammenhang.

Siegfried Steiner (1986)

Mathematische Zeitschrift

Verallgemeinerte projektiv-euklidische Räume

Leon Bieszk, Donata Matel-Kamińska (1973)

Annales Polonici Mathematici

Zur metrischen Differentialgeometrie auf Mannigfaltigkeiten mit p-Areal und nichtlinearem Zusammenhang für einfache p-Vektoren.

Imme Haubitz, W. Barthel (1973/1974)

Jahresbericht der Deutschen Mathematiker-Vereinigung

π-geodesics and lines of shadow

K. Radziszewski (1972)

Colloquium Mathematicae

$φ (Ric)$ -vector fields in Riemannian spaces

Irena Hinterleitner, Volodymyr A. Kiosak (2008)

Archivum Mathematicum

In this paper we study vector fields in Riemannian spaces, which satisfy $\nabla ϕ = μ$ , $𝐑𝐢𝐜$ , $μ = const.$ We investigate the properties of these fields and the conditions of their coexistence with concircular vector fields. It is shown that in Riemannian spaces, noncollinear concircular and $ϕ (Ric)$ -vector fields cannot exist simultaneously. It was found that Riemannian spaces with $ϕ (Ric)$ -vector fields of constant length have constant scalar curvature. The conditions for the existence of $ϕ (Ric)$ -vector fields in symmetric spaces are given....