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This article is cited in 1 scientific paper (total in 1 paper)
The Warped Product of Hamiltonian Spaces
H. Attarchi, M. M. Rezaii Department of Mathematics and Computer Science,
Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
Abstract:
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 lifted metric $G$ of Hamiltonian warped product space is bundle-like for its vertical foliation if and only if based Hamiltonian spaces are pseudo-Riemannian manifolds.
Key words and phrases:
warped product, Hamiltonian space, bundle-like metric.
Received: 21.11.2012 Revised: 31.03.2014
Citation:
H. Attarchi, M. M. Rezaii, “The Warped Product of Hamiltonian Spaces”, Zh. Mat. Fiz. Anal. Geom., 10:3 (2014), 300–308
Linking options:
https://www.mathnet.ru/eng/jmag595 https://www.mathnet.ru/eng/jmag/v10/i3/p300
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Abstract page: | 129 | Full-text PDF : | 35 | References: | 27 |
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