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- Title
PARALLELISM OF DISTRIBUTIONS AND GEODESICS ON F(±a², ±b²)-STRUCTURE LAGRANGIAN MANIFOLD.
- Authors
Islam Khan, Mohammad Nazrul; Das, Lovejoy S.
- Abstract
This paper deals with the Lagrange vertical structure on the vertical tangent space TV(N) endowed with a non-zero (1,1) tensor field Fv satisfying (Fv² - a²)(Fv² + a²)(Fv² - b²)(Fv² + b²) = 0. The similar structure on the horizontal subspace TH(N) and on T(N) is investigated if the F(±a², ±b²)-structure on TV(N) is given. Furthermore, we have proved some theorems and obtained conditions under which the distribution P and Q are ∇-parallel, ... anti half parallel when ∇ = .... Finally, certain theorems on geodesics on the Lagrange manifold are established.
- Subjects
TENSOR fields; GEODESICS
- Publication
Facta Universitatis, Series: Mathematics & Informatics, 2021, Vol 36, Issue 1, p157
- ISSN
0352-9665
- Publication type
Article
- DOI
10.22190/FUMI200420013K