Prolongations of <i>F</i>‐structure to the tangent bundle of order 2

Das, Lovejoy S.

doi:10.1155/s0161171293000249

Cited by 1 publication

(1 citation statement)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The investigation for the integrability of tensorial structures on manifolds and extension to the tangent or cotangent bundle, whereas the de…ning tensor …eld satis…es a polynomial identity has been an actively discussed research topic in the last 50 years, initiated by the fundamental works of Kentaro Yano and his collaborators, see for example [25]. Later, a lot of authors studied on the topics of the bundle, Riemannian manifolds and F structure too [1,2,3,4,5,10,12,13,16,23]. There are a lot of structures in tangent and cotangent bundle.…”

Section: Introductionmentioning

confidence: 99%

Some notes on lifts of the F((υ+1),λ²(υ-1))-structure on cotangent and tangent bundle

Çayir¹

2021

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

View full text Add to dashboard Cite

The F v+1 2 F v 1 = 0 structure ( 3) have been studied by Kim J. B. [14]. Later, Srivastava S.K studied on the complete lifts of (1; 1) tensor …eld F satisfying structure F v+1 2 F v 1 = 0 and extended in M n to cotangent bundle. This paper consists of two main sections. In the …rst part, we …nd the integrability conditions by calculating Nijenhuis tensors of the complete and horizontal lifts of F v+1 2 F v 1 = 0: Later, we get the results of Tachibana operators applied to vector and covector …elds according to the complete and horizontal lifts of F ( + 1) ; 2 ( 1) -structure and the conditions of almost holomor…c vector …elds in cotangent bundle T (M n ). Finally, we have studied the purity conditions of Sasakian metric with respect to the lifts of F v+1 2 F v 1 = 0 structure. In the second part, all results obtained in the …rst section were investigated according to the complete and horizontal lifts of the F v+1 2 F v 1 = 0 structure in tangent bundle T (M n ).

show abstract