Research Article

Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M)

Volume: 4 Number: 3 September 30, 2016
  • Hasim Cayir *
EN

Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M)

Abstract

The differential geometry of tangent bundles was studied by several authors, for example: Yano and Ishihara [8], V. Oproiu [3], A.A. Salimov [5], D. E. Blair [1] and among others. It is well known that different structures defined on a manifold  can be lifted to the same type of structures on its tangent bundle. In addition, several authors was studied on operators too, for example: A.A. Salimov [5]. Our goal is to study Tachibana and Vishnevskii Operators Applied to Xand X in almost paracontact structure on tangent bundle . In addition, this results which obtained shall be studied for some special values in almost paracontact structure.

Keywords

References

  1. D.E.Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math, 509, Springer Verlag, New York, (1976).
  2. S.Das, Lovejoy, Fiberings on almost r-contact manifolds, Publicationes Mathematicae, Debrecen, Hungary 43 (1993) 161-167.
  3. V.Oproiu, Some remarkable structures and connexions, defined on the tangent bundle, Rendiconti di Matematica 3 (1973) 6 VI.
  4. T.Omran, A.Sharffuddin, S.I.Husain, Lift of Structures on Manifolds, Publications de 1’Instıtut Mathematıqe, Nouvelle serie, 360 (50) (1984) 93 – 97.
  5. A.A.Salimov, Tensor Operators and Their applications, Nova Science Publ., New York (2013).
  6. S.Sasaki, On The Differantial Geometry of Tangent Boundles of Riemannian Manifolds, Tohoku Math. J., no.10(1958) 338-358.
  7. A.A.Salimov, H.Çayır, Some Notes On Almost Paracontact Structures, Comptes Rendus de 1’Acedemie Bulgare Des Sciences, tome 66 (3) (2013) 331-338.
  8. K.Yano, S.Ishihara, Tangent and Cotangent Bundles, Marcel Dekker Inc, New York (1973).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Hasim Cayir * This is me
Türkiye

Publication Date

September 30, 2016

Submission Date

February 12, 2016

Acceptance Date

May 16, 2016

Published in Issue

Year 2016 Volume: 4 Number: 3

APA
Cayir, H. (2016). Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M). New Trends in Mathematical Sciences, 4(3), 105-115. https://izlik.org/JA85AN69LW
AMA
1.Cayir H. Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M). New Trends in Mathematical Sciences. 2016;4(3):105-115. https://izlik.org/JA85AN69LW
Chicago
Cayir, Hasim. 2016. “Tachibana and Vishnevskii Operators Applied to X ^V and X^H in Almost Paracontact Structure on Tangent Bundle T(M)”. New Trends in Mathematical Sciences 4 (3): 105-15. https://izlik.org/JA85AN69LW.
EndNote
Cayir H (September 1, 2016) Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M). New Trends in Mathematical Sciences 4 3 105–115.
IEEE
[1]H. Cayir, “Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M)”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 105–115, Sept. 2016, [Online]. Available: https://izlik.org/JA85AN69LW
ISNAD
Cayir, Hasim. “Tachibana and Vishnevskii Operators Applied to X ^V and X^H in Almost Paracontact Structure on Tangent Bundle T(M)”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 105-115. https://izlik.org/JA85AN69LW.
JAMA
1.Cayir H. Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M). New Trends in Mathematical Sciences. 2016;4:105–115.
MLA
Cayir, Hasim. “Tachibana and Vishnevskii Operators Applied to X ^V and X^H in Almost Paracontact Structure on Tangent Bundle T(M)”. New Trends in Mathematical Sciences, vol. 4, no. 3, Sept. 2016, pp. 105-1, https://izlik.org/JA85AN69LW.
Vancouver
1.Hasim Cayir. Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M). New Trends in Mathematical Sciences [Internet]. 2016 Sep. 1;4(3):105-1. Available from: https://izlik.org/JA85AN69LW