The natural operators lifting horizontal 1-forms to some vector bundle functors on fibered manifolds

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

Abstrakty

EN

Let F:ℱ ℳ → 𝓥ℬ be a vector bundle functor. First we classify all natural operators $T_{proj|ℱ ℳ _{m,n}} ⇝ T^{(0,0)}(F_{|ℱ ℳ_{m,n}})*$ transforming projectable vector fields on Y to functions on the dual bundle (FY)* for any $ℱ ℳ _{m,n}$-object Y. Next, under some assumption on F we study natural operators $T*_{hor|ℱ ℳ _{m,n}} ⇝ T*(F_{|ℱ ℳ _{m,n}})*$ lifting horizontal 1-forms on Y to 1-forms on (FY)* for any Y as above. As an application we classify natural operators $T*_{hor|ℱ ℳ _{m,n}} ⇝ T*(F_{|ℱ ℳ _{m,n}})*$ for some vector bundle functors F on fibered manifolds.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 97
• Numer: 2
• Strony: 141-149

Daty

wydano

2003

Twórcy

autor

J. Kurek

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

autor

W. M. Mikulski

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/cm97-2-1