Translator Disclaimer
December 2021 Some notes on the differential geometry of linear coframe bundle of a Riemannian manifold
Habil Fattayev
Adv. Studies: Euro-Tbilisi Math. J. 14(4): 81-95 (December 2021). DOI: 10.3251/asetmj/1932200815

Abstract

In this paper, we construct $f-$structures $F_{\alpha },1 \le \alpha \le {n}$, $\tilde F$ and $\bar F$ on the linear coframe bundle $F^{*}(M)$ of the Riemannian manifold $M$. It is proved that these structures are adapted with the diagonal lift $^{D}g$ of the Riemannian metric $g$ of the manifold $M$ into the linear coframe bundle $F^{*}(M)$. Also we study the integrability and parallelism of the $f-$structures $F_{\alpha },1 \le \alpha \le {n}$, $\tilde F$ and $\bar F$.

Citation

Download Citation

Habil Fattayev. "Some notes on the differential geometry of linear coframe bundle of a Riemannian manifold." Adv. Studies: Euro-Tbilisi Math. J. 14 (4) 81 - 95, December 2021. https://doi.org/10.3251/asetmj/1932200815

Information

Received: 30 August 2020; Accepted: 10 April 2021; Published: December 2021
First available in Project Euclid: 16 December 2021

Digital Object Identifier: 10.3251/asetmj/1932200815

Subjects:
Primary: 53C15
Secondary: 53C25

Keywords: adapted frame , diagonal lift , F-structure , integrability , linear coframe bundle , parallelizm

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

JOURNAL ARTICLE
15 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.14 • No. 4 • December 2021
Back to Top