Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2023, Cilt: 16 Sayı: 1, 104 - 110, 30.04.2023

Haşim Çayır Behboudi Asl

https://doi.org/10.36890/iejg.1170443

Öz

Kaynakça

  • [1] N. Cengiz and A. A. Salimov, Complete lifts of derivations to tensor bundles, Bol. Soc. Mat. Mexicana (3) 8 (2002), no. 1, 75--82.
  • [2] H.Çayır, Tachibana and Vishnevskii Operators Applied to $X^{V}$ and $X^{C}$ in Almost Paracontact Structure on Tangent Bundle T(M), Ordu Üniversitesi Bilim ve Teknoloji Dergisi, Ordu Üniversitesi, 6 (1) (2016) 67-82.
  • [3] H.Çayır, Tachibana and Vishnevskii Operators Applied to $X^{V}$ and $X^{C}$ in Almost Paracontact Structure on Tangent Bundle T(M), New Trends in Mathematical Sciences, 4 (3) (2016) 105-115.
  • [4] A. Gezer and A.A. Salimov, Diagonal lifts of tensor fields of type (1,1) on cross-sections in tensor bundles and ıts applications, J. Korean Math. Soc. 45(2008), no.2, 367-376.
  • [5] A. Ledger and K. Yano, Almost complex structures on tensor bundles, J. Differential Geometry 1 (1967), 355--368.
  • [6] A. Mağden, N. Cengiz, and A. A. Salimov, Horizontal lift of affinor structures and its applications, Appl. Math. Comput. 156 (2004), no. 2, 455--461.
  • [7] A. Mağden and A. A. Salimov, Horizontal lifts of tensor fields to sections of the tangent bundle, Izv. Vyssh. Uchebn. Zaved. Mat. (2001), no. 3, 77--80; translation in Russian Math. (Iz. VUZ) 45 (2001), no. 3, 73-76.
  • [8] A. A. Salimov, A new method in the theory of liftings of tensor fields in a tensor bundle, Izv. Vyssh. Uchebn. Zaved. Mat. (1994), no. 3, 69--75; translation in Russian Math. (Iz. VUZ) 38 (1994), no. 3, 67-73.
  • [9] A.A.Salimov, Tensor Operators and Their applications, Nova Science Publ., New York (2013).
  • [10] A.A.Salimov, H.Çayır, Some Notes On Almost Paracontact Structures, Comptes Rendus de 1'Acedemie Bulgare Des Sciences, 66 (3) (2013) 331-338.
  • [11] A. A. Salimov, A. Gezer and K. Akbulut, Geodesics of Sasakian metrics on tensor bundles, Mediterranean Journal of Mathematics, 6 (2009). 135-147.
  • [12] K. Yano and S. Ishihara, Tangent and Cotangent Bundles: Differential Geometry, Pure and Applied Mathematics, No. 16. Marcel Dekker, Inc., New York, 1973.
  • [13] K. Yano and M. Kon, Structures on Manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, 1984.

Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$

Yıl 2023, Cilt: 16 Sayı: 1, 104 - 110, 30.04.2023

Haşim Çayır Behboudi Asl

https://doi.org/10.36890/iejg.1170443

Öz

In this paper firstly, operators were applied to vertical and horizontal lifts with respect to the diagonal lift $ϕ^{D}$ of tensor fields of type (1,1) from manifold to its tensor bundle of type (p,q) along the cross-section, respectively. Secondly, we get the conditions of almost holomorfic vector field with respect to $ϕ^{D}$ on $T_{q}^{p}(M)$.

Anahtar Kelimeler

Cross-section Tachibana operators Vishnevskii operators diagonal lift horizontal lift vertical lift

Kaynakça

  • [1] N. Cengiz and A. A. Salimov, Complete lifts of derivations to tensor bundles, Bol. Soc. Mat. Mexicana (3) 8 (2002), no. 1, 75--82.
  • [2] H.Çayır, Tachibana and Vishnevskii Operators Applied to $X^{V}$ and $X^{C}$ in Almost Paracontact Structure on Tangent Bundle T(M), Ordu Üniversitesi Bilim ve Teknoloji Dergisi, Ordu Üniversitesi, 6 (1) (2016) 67-82.
  • [3] H.Çayır, Tachibana and Vishnevskii Operators Applied to $X^{V}$ and $X^{C}$ in Almost Paracontact Structure on Tangent Bundle T(M), New Trends in Mathematical Sciences, 4 (3) (2016) 105-115.
  • [4] A. Gezer and A.A. Salimov, Diagonal lifts of tensor fields of type (1,1) on cross-sections in tensor bundles and ıts applications, J. Korean Math. Soc. 45(2008), no.2, 367-376.
  • [5] A. Ledger and K. Yano, Almost complex structures on tensor bundles, J. Differential Geometry 1 (1967), 355--368.
  • [6] A. Mağden, N. Cengiz, and A. A. Salimov, Horizontal lift of affinor structures and its applications, Appl. Math. Comput. 156 (2004), no. 2, 455--461.
  • [7] A. Mağden and A. A. Salimov, Horizontal lifts of tensor fields to sections of the tangent bundle, Izv. Vyssh. Uchebn. Zaved. Mat. (2001), no. 3, 77--80; translation in Russian Math. (Iz. VUZ) 45 (2001), no. 3, 73-76.
  • [8] A. A. Salimov, A new method in the theory of liftings of tensor fields in a tensor bundle, Izv. Vyssh. Uchebn. Zaved. Mat. (1994), no. 3, 69--75; translation in Russian Math. (Iz. VUZ) 38 (1994), no. 3, 67-73.
  • [9] A.A.Salimov, Tensor Operators and Their applications, Nova Science Publ., New York (2013).
  • [10] A.A.Salimov, H.Çayır, Some Notes On Almost Paracontact Structures, Comptes Rendus de 1'Acedemie Bulgare Des Sciences, 66 (3) (2013) 331-338.
  • [11] A. A. Salimov, A. Gezer and K. Akbulut, Geodesics of Sasakian metrics on tensor bundles, Mediterranean Journal of Mathematics, 6 (2009). 135-147.
  • [12] K. Yano and S. Ishihara, Tangent and Cotangent Bundles: Differential Geometry, Pure and Applied Mathematics, No. 16. Marcel Dekker, Inc., New York, 1973.
  • [13] K. Yano and M. Kon, Structures on Manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, 1984.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Haşim Çayır 0000-0003-0348-8665

Behboudi Asl 0000-0003-1682-1391

Yayımlanma Tarihi 30 Nisan 2023
Kabul Tarihi 18 Eylül 2022
Yayımlandığı Sayı Yıl 2023 Cilt: 16 Sayı: 1

Kaynak Göster

APA Çayır, H., & Asl, B. (2023). Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$. International Electronic Journal of Geometry, 16(1), 104-110. https://doi.org/10.36890/iejg.1170443
AMA Çayır H, Asl B. Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$. Int. Electron. J. Geom. Nisan 2023;16(1):104-110. doi:10.36890/iejg.1170443
Chicago Çayır, Haşim, ve Behboudi Asl. “Operators Applied to Lifts With Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$”. International Electronic Journal of Geometry 16, sy. 1 (Nisan 2023): 104-10. https://doi.org/10.36890/iejg.1170443.
EndNote Çayır H, Asl B (01 Nisan 2023) Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$. International Electronic Journal of Geometry 16 1 104–110.
IEEE H. Çayır ve B. Asl, “Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$”, Int. Electron. J. Geom., c. 16, sy. 1, ss. 104–110, 2023, doi: 10.36890/iejg.1170443.
ISNAD Çayır, Haşim - Asl, Behboudi. “Operators Applied to Lifts With Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$”. International Electronic Journal of Geometry 16/1 (Nisan 2023), 104-110. https://doi.org/10.36890/iejg.1170443.
JAMA Çayır H, Asl B. Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$. Int. Electron. J. Geom. 2023;16:104–110.
MLA Çayır, Haşim ve Behboudi Asl. “Operators Applied to Lifts With Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$”. International Electronic Journal of Geometry, c. 16, sy. 1, 2023, ss. 104-10, doi:10.36890/iejg.1170443.
Vancouver Çayır H, Asl B. Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$. Int. Electron. J. Geom. 2023;16(1):104-10.
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