Almost symplectic structures on the linear frame bundle from linear connection

• Autorzy: Anna Bednarska
• Języki publikacji: EN

Abstrakty

EN

We describe all M fm-natural operators S: Q ↝ Symp P1 transforming classical linear connections ∇ on m-dimensional manifolds M into almost symplectic structures S(∇) on the linear frame bundle P1M over M.

Słowa kluczowe

EN

Classical linear connection; almost symplectic structure; linear frame bundle; natural operator

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2009
• Tom: 63
• Numer: 1
• Strony: 49-53

Daty

wydano

2009-01-01

online

2010-01-22

Twórcy

autor

Anna Bednarska

• Institute of Mathematics, Maria Curie-Sklodowska University, pl. M. Curie-Sklodowskiej 1, 20-031 Lublin, Poland

Bibliografia

• Berndt, R., An Introduction to Symplectic Geometry, Graduate Studies in Mathematics, Vol 26, American Mathematical Society, Providence, Rhode Island, 2001.
• Kobayashi, S., Nomizu, K., Foundations of Differential Geometry, Vol I, Interscience Publisher, New York-London, 1963.
• Kolář, I., Michor, P. W. and Slovák, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.
• Kurek, J., Mikulski, W. M., Riemannian structures on higher order frame bundles from classical linear connections, Differential Geometry, Proceedings of the VIII International Colloquium Santiago de Compostela, World Scientific 2009, 296-300.
• León, M. de, Rodrigues, P. R., Methods of Differential Geometry in Analytical Mechanics, North-Holland Math. Stud. 158, Amsterdam, 1989.

Identyfikatory

DOI

10.2478/v10062-009-0005-y