Horizontal lift of symmetric connections to the bundle of volume forms ν
Anna Gąsior
Annales UMCS, Mathematica, Tome 64 (2010), p. 45-61 / 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 ν 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 ν.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:267845 
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     author = {Anna G\k asior},
     title = {
      Horizontal lift of symmetric connections to the bundle of volume forms
      $\nu$
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     journal = {Annales UMCS, Mathematica},
     volume = {64},
     year = {2010},
     pages = {45-61},
     zbl = {1219.53017},
     language = {en},
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Anna Gąsior. 
      Horizontal lift of symmetric connections to the bundle of volume forms
      ν
    . Annales UMCS, Mathematica, Tome 64 (2010) pp. 45-61. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-010-0004-z/

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