The Warped Product of Hamiltonian Spaces

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2014
• Main Authors: Attarchi, H., Rezaii, M.M.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106799
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Warped Product of Hamiltonian Spaces / H. Attarchi, M.M. Rezaii // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 3. — С. 300-308. — Бібліогр.: 11 назв. — англ.

In this paper, the geometric properties of warped product Hamiltonian spaces are studied. It is shown there is a close geometrical relation between a warped product Hamiltonian space and its base Hamiltonian manifolds. For example, it is proved that for nonconstant warped function f, the Sasaki lift...