# Horizontal lift of symmetric connections to the bundle of volume forms ν

Annales UMCS, Mathematica (2010)

- Volume: 64, Issue: 1, page 45-61
- ISSN: 2083-7402

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topAnna Gąsior. " Horizontal lift of symmetric connections to the bundle of volume forms ν ." Annales UMCS, Mathematica 64.1 (2010): 45-61. <http://eudml.org/doc/267845>.

@article{AnnaGąsior2010,

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 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.},

author = {Anna Gąsior},

journal = {Annales UMCS, Mathematica},

keywords = {Horizontal lift; π-conjugate connection; Killing field; infinitesimal transformation; F(3; 1)-structure; FK; FAK; FNK; FQK; FH-structure; horizontal lift; -conjugate connection; -structure},

language = {eng},

number = {1},

pages = {45-61},

title = { Horizontal lift of symmetric connections to the bundle of volume forms ν },

url = {http://eudml.org/doc/267845},

volume = {64},

year = {2010},

}

TY - JOUR

AU - Anna Gąsior

TI - Horizontal lift of symmetric connections to the bundle of volume forms ν

JO - Annales UMCS, Mathematica

PY - 2010

VL - 64

IS - 1

SP - 45

EP - 61

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/267845

ER -

## References

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