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Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions

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Ianuş S., Marchiafava S., Vîlcu G.
Open Mathematics
|
2010
|
tom 8
|
nr 4
735-753
EN
In this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry. We also study a class of semi-Riemannian submersions from paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds.
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Harmonic maps and Riemannian submersions between manifolds endowed with special structures

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Ianuş S., Vîlcu G., Voicu R.
Banach Center Publications
|
2011
|
tom 93
|
nr 1
277-288
EN
It is well known that Riemannian submersions are of interest in physics, owing to their applications in the Yang-Mills theory, Kaluza-Klein theory, supergravity and superstring theories. In this paper we give a survey of harmonic maps and Riemannian submersions between manifolds equipped with certain geometrical structures such as almost Hermitian structures, contact structures, f-structures and quaternionic structures. We also present some new results concerning holomorphic maps and semi-Riemannian submersions between manifolds with metric mixed 3-structures.
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