Horizontal lift of symmetric connections to the bundle of volume forms 𝒱
Anna Gasior
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 54 (2010), / Harvested from The Polish Digital Mathematics Library
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In this paper we present the horizontal lift of a symmetric affine connection with respect to another affine connection to the bundle of volume forms 𝒱 and give formulas for its curvature tensor, Ricci tensor and the scalar curvature. Next, we give some properties of the horizontally lifted vector fields and certain infinitesimal transformations. At the end, we consider some substructures of a F(3,1)-structure on 𝒱.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:289759 
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     author = {Anna Gasior},
     title = {Horizontal lift of symmetric connections to the bundle of volume forms $\mathcal {V}$
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     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {54},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_1_45-61}
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Anna Gasior. Horizontal lift of symmetric connections to the bundle of volume forms $\mathcal {V}$
            . Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 54 (2010) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_1_45-61/

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