Harmonic maps and Riemannian submersions between manifolds endowed with special structures
Volume 93 / 2011
Banach Center Publications 93 (2011), 277-288
MSC: Primary 53C43; Secondary 53D15
DOI: 10.4064/bc93-0-23
Abstract
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.
