Tachibana and Vishnevskii operators applied to X ^V and X^H in almost paracontact structure on tangent bundle T(M)
Öz
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 X
and 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.
Anahtar Kelimeler
Tachibana Operators Vishnevskii Operators Almost Paracontact Structure Horizontal Lift
Kaynakça
- D.E.Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math, 509, Springer Verlag, New York, (1976).
- S.Das, Lovejoy, Fiberings on almost r-contact manifolds, Publicationes Mathematicae, Debrecen, Hungary 43 (1993) 161-167.
- V.Oproiu, Some remarkable structures and connexions, defined on the tangent bundle, Rendiconti di Matematica 3 (1973) 6 VI.
- T.Omran, A.Sharffuddin, S.I.Husain, Lift of Structures on Manifolds, Publications de 1’Instıtut Mathematıqe, Nouvelle serie, 360 (50) (1984) 93 – 97.
- A.A.Salimov, Tensor Operators and Their applications, Nova Science Publ., New York (2013).
- S.Sasaki, On The Differantial Geometry of Tangent Boundles of Riemannian Manifolds, Tohoku Math. J., no.10(1958) 338-358.
- 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.
- K.Yano, S.Ishihara, Tangent and Cotangent Bundles, Marcel Dekker Inc, New York (1973).
Öz
Kaynakça
- D.E.Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math, 509, Springer Verlag, New York, (1976).
- S.Das, Lovejoy, Fiberings on almost r-contact manifolds, Publicationes Mathematicae, Debrecen, Hungary 43 (1993) 161-167.
- V.Oproiu, Some remarkable structures and connexions, defined on the tangent bundle, Rendiconti di Matematica 3 (1973) 6 VI.
- T.Omran, A.Sharffuddin, S.I.Husain, Lift of Structures on Manifolds, Publications de 1’Instıtut Mathematıqe, Nouvelle serie, 360 (50) (1984) 93 – 97.
- A.A.Salimov, Tensor Operators and Their applications, Nova Science Publ., New York (2013).
- S.Sasaki, On The Differantial Geometry of Tangent Boundles of Riemannian Manifolds, Tohoku Math. J., no.10(1958) 338-358.
- 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.
- K.Yano, S.Ishihara, Tangent and Cotangent Bundles, Marcel Dekker Inc, New York (1973).
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Eylül 2016 |
| Yayımlandığı Sayı | Yıl 2016 Cilt: 4 Sayı: 3 |