Third Natural Connection on Riemannian Π-manifolds
Keywords:third natural connection, second natural connection, first natural connection, affine connection, natural connection, Riemannian Π-manifolds
A natural connection whose torsion tensor is a 3-form is defined and called the third natural connection on a Riemannian Π-manifold. In the cases of existence of this connection, a relation between it and the known first and second natural connections on the considered manifolds is established. An explicit example of dimension 5 is given in confirmation of the proven assertions.
How to Cite
LicenseCopyright (c) 2023 Proceedings of the Bulgarian Academy of Sciences
Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences
Copyright is subject to the protection of the Bulgarian Copyright and Associated Rights Act. The copyright holder of all articles on this site is Proceedings of the Bulgarian Academy of Sciences. If you want to reuse any part of the content, please, contact us.