Local normal forms for geodesically equivalent pseudo-Riemannian metrics
History
School
Science
Department
Mathematical Sciences
Published in
Transactions of the American Mathematical Society
Volume
367
Issue
9
Pages
6719 - 6749
Citation
BOLSINOV, A.V. and MATVEEV, V.S., 2014. Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Transactions of the American Mathematical Society, 367, pp.6719-6749
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
Publication date
2014-12-10
Notes
This is an extended version of the submitted paper. It contains all proofs with all details and also an appendix where we explain how can one construct a complex structure by a (1,1)-tensor such that all its eigenvalues are not real and such that the Nijenhuis torsion vanishes.
First published in Transactions of the American Mathematical Society, 367, pp.6719-6749, published by the American Mathematical Society.