@article{10902/13818,
year = {2016},
url = {http://hdl.handle.net/10902/13818},
abstract = {We study several linear connections (the first canonical, the Chern, the well adapted, the Levi Civita, the Kobayashi-Nomizu, the Yano, the Bismut and those with totally skew-symmetric torsion) which can be defined on the four geometric types of (J2 = ±1)-metric manifolds. We characterize when such a connection is adapted to the structure, and obtain a lot of results about coincidence among connections. We prove that the first canonical and the well adapted connections define a one-parameter family of adapted connections, named canonical connections, thus extending to almost Norden and almost product Riemannian manifolds the families introduced in almost Hermitian and almost para-Hermitian manifolds in [13] and [18]. We also prove that every connection studied in this paper is a canonical connection, when it exists and it is an adapted connection.},
publisher = {Masarykova Universita},
publisher = {Archivum Mathematicum, 2016, 52, 159-203},
title = {Distinguished connections on (J2 = ±1)-metric manifolds},
author = {Etayo Gordejuela, Fernando and Santamaría Sánchez, Rafael},
}