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COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$

Yıl 2016, Cilt: 4 Sayı: 2, 209 - 216, 01.10.2016

HASIM Cayır

Öz

The differential geometry of tangent bundles was studied by several authors, for example: D. E. Blair \cite{B76}, V. Oproiu \cite{O73}, A. Salimov \cite% {S13}, Yano and Ishihara \cite{YI73} and among others. It is well known that differant structures deffined on a manifold $M$ can be lifted to the same type of structures on its tangent bundle. Several authors cited here in obtained result in this direction. Our goal is to study covarient derivatives of almost contact structure and almost paracontact structure with respect to $X^{C}$ and $X^{V}$ on tangent bundle $T(M)$. In addition, this covarient derivatives which obtained shall be studied for some special values in almost contact structure and almost paracontact structure.

Anahtar Kelimeler

Covarient Derivative Almost Contact Structure Almost Paracontact Structure

Kaynakça

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

Yıl 2016, Cilt: 4 Sayı: 2, 209 - 216, 01.10.2016

HASIM Cayır

Öz

Kaynakça

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

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

HASIM Cayır

Yayımlanma Tarihi 1 Ekim 2016
Gönderilme Tarihi 8 Temmuz 2015
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 2

Kaynak Göster

APA Cayır, H. (2016). COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$. Konuralp Journal of Mathematics, 4(2), 209-216.
AMA Cayır H. COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$. Konuralp J. Math. Ekim 2016;4(2):209-216.
Chicago Cayır, HASIM. “COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$”. Konuralp Journal of Mathematics 4, sy. 2 (Ekim 2016): 209-16.
EndNote Cayır H (01 Ekim 2016) COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$. Konuralp Journal of Mathematics 4 2 209–216.
IEEE H. Cayır, “COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$”, Konuralp J. Math., c. 4, sy. 2, ss. 209–216, 2016.
ISNAD Cayır, HASIM. “COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$”. Konuralp Journal of Mathematics 4/2 (Ekim 2016), 209-216.
JAMA Cayır H. COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$. Konuralp J. Math. 2016;4:209–216.
MLA Cayır, HASIM. “COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$”. Konuralp Journal of Mathematics, c. 4, sy. 2, 2016, ss. 209-16.
Vancouver Cayır H. COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$. Konuralp J. Math. 2016;4(2):209-16.
 Kapak Resmi İndir
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