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Harmonic maps and Riemannian submersions between manifolds endowed with special structures

Stere IanuşGabriel Eduard VîlcuRodica Cristina Voicu — 2011

Banach Center Publications

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...

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