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ArticleOriginal scientific text

Title

Horizontal lift of symmetric connections to the bundle of volume forms V

Authors

Abstract

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.

Keywords

ENG
Horizontal lift, π-conjugate connection, Killing field, infinitesimal transformation, F(3,1)-structure, FK, FAK, FNK, FQK, FH-structure

Bibliography

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Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
2010/54/1
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Main language of publication
English
Published
2010
Published online
2016-07-29

DOI: 10.17951/a.2010.54.1.45-61

Exact and natural sciences