Projective Curvature Tensors of Some Special Manifolds with Non-symmetric Linear Connection

Petrović, Miloš Z.; Velimirović, Ana M.

doi:10.1007/s00009-021-01768-8

Search citation statements

Order By: Relevance

Paper Sections

Select...

Curvature Properties Of Projective Semi-symmetric Linear Con...1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2023

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…. , 5, but some assumptions are necessary [21]. Therefore, there does not exist any generalization of the Weyl projective curvature tensor, but the tensors that have a similar role might be useful as replacements in some applications.…”

Section: Curvature Properties Of Projective Semi-symmetric Linear Con...mentioning

confidence: 99%

Curvature properties of projective semi-symmetric linear connections

Zlatanović,

Petrović,

Maksimović

2023

MMN

View full text Add to dashboard Cite

We study a projective semi-symmetric linear connection on a differentiable manifold M endowed with a Riemannian metric g. We start with linearly independent curvature tensors R θ , θ = 0, 1, . . . , 5 and derive the tensors W θ for θ = 0, 1, . . . , 5 that, as we show, coincide with the Weyl tensor of projective curvature W g . This confirms the well-known fact that there does not exist a generalization of the Weyl projective curvature tensor W g .

show abstract

Section: Curvature Properties Of Projective Semi-symmetric Linear Con...mentioning

confidence: 99%