Article
2023
·
0 citations
Notes on the Second Tangent Bundle over an Anti-biparaKaehlerian Manifold
Abstract
In this note, we define a Berger type deformed Sasaki metric as a natural metric on the second tangent bundle of a manifold by means of a biparacomplex structure. First, we obtain the Levi-Civita connection of this metric. Secondly, we get the curvature tensor, sectional curvature, and scalar curvature. Afterwards, we obtain some formulas characterizing the geodesics with respect to the metric on the second tangent bundle. Fi-nally, we present the harmonicity conditions for some maps.
Keywords
Berger type deformed Sasaki metric
anti-biparaKaehlerian struc-ture
geodesics
second tangent bundle
WoS Categories
Mathematics
Citation
- Journal
- KYUNGPOOK MATHEMATICAL JOURNAL
- Year
- 2023
- Volume
- 63
- Issue
- 1
- Pages
- 79-95
- ISSN
- 1225-6951
- eISSN
- 0454-8124
- DOI
- 10.5666/KMJ.2022.63.1.79
- WoS UID
- WOS:000985496600008