E3S Web Conf.
Volume 244, 2021XXII International Scientific Conference Energy Management of Municipal Facilities and Sustainable Energy Technologies (EMMFT-2020)
|Number of page(s)||15|
|Section||Environmental and Climate Technologies|
|Published online||19 March 2021|
Tensor invariants of generalized Kenmotsu manifolds
1 Mathematics college of Education for Women - University of Tikrit, Iraq Salahaddin-Tikrit, p.o. Box 42, Tikrit. Iraq
2 Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, 129337, Moscow, Russia
* Corresponding author: email@example.com
In this paper, we study the properties of generalized Kenmotsu manifolds, consider the second-order differential geometric invariants of the Riemannian curvature tensor of generalized Kenmotsu manifolds (by the symmetry properties of the Riemannian geometry tensor). The concept of a tensor spectrum is introduced. Nine invariants are singled out and the geometric meaning of these invariants turning to zero are investigated. The identities characterizing the selected classes are singled out. Also, 9 classes of generalized Kenmotsu manifolds are distinguished, the local structure of 8 classes from the selected ones is obtained.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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