Article 2025 · 0 citations

New structures of golden type on the tangent bundle

Druta-Romaniuc, Simona-luiza, Hretcanu, Cristina-elena, Gezer, Aydin

Abstract

The aim of our paper is to prove the existence of some types of almost (alpha, p)-golden structures, obtained as general natural lifts of the Riemannian metric from the base manifold M to the total space TM of the tangent bundle. We show that TM, endowed with a general natural almost (alpha, p)-golden structure (which is a generalisation of the golden structure) and with a general natural metric, is an almost (alpha, p)-golden Riemannian manifold if and only if the function coefficients of the almost (alpha, p)-golden structure are related to those of the metric by two systems of three equations each. When alpha = 1 we obtain five types of such manifolds and when alpha = -1 we show that TM is an almost (-1, p)-golden Riemannian manifold if and only if the function coefficients of the metric and of the (-1, p)-golden structure satisfy some proportionality relations.

Keywords

Tangent bundle natural lift alpha-structure Riemannian almost product structure almost Hermitian structure almost (alpha, p)-golden Riemannian manifold RIEMANNIAN STRUCTURES HERMITIAN STRUCTURES MANIFOLDS (J(2) LIFTS

WoS Categories

Mathematics

Citation

Journal: TURKISH JOURNAL OF MATHEMATICS
Year: 2025
Volume: 49
Issue: 6
ISSN: 1300-0098
eISSN: 1303-6149
DOI: 10.55730/1300-0098.3629
WoS UID: WOS:001621641100011

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