Lifting to the r-frame bundle by means of connections

• Autorzy: J. Kurek , W. M. Mikulski
• Języki publikacji: EN

Abstrakty

EN

Let m and r be natural numbers and let $P^r:ℳ f_m → ℱℳ$ be the rth order frame bundle functor. Let $F:ℳ f_m → ℱℳ$ and $G:ℳ f_k → ℱℳ$ be natural bundles, where $k=dim (P^rℝ^m)$. We describe all $ℳ f_m$-natural operators A transforming sections σ of $FM → M$ and classical linear connections ∇ on M into sections A(σ,∇) of $G(P^rM) → P^rM$. We apply this general classification result to many important natural bundles F and G and obtain many particular classifications.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 97
• Numer: 1
• Strony: 63-71

Daty

wydano

2010

Twórcy

autor

J. Kurek

• Institute of Mathematics, Maria Skłodowska-Curie University, pl. Marii Skłodowskiej-Curie 1, 20-031 Lublin, Poland

autor

W. M. Mikulski

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap97-1-5