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Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension

Cilt: 10 Sayı: 4 15 Aralık 2020
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Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension

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The main purpose of the present paper is to study some properties of infinitesimal paraholomorphically projective transformation on 𝑇∗𝑀 with respect to the Levi-Civita connection of the Riemannian extension ( 𝑅∇) and adapted almost paracomplex structure 𝐽. Moreover, if 𝑇∗𝑀 be admits a non-affine infinitesimal paraholomorphically projective transformation, than 𝑀 and 𝑇∗𝑀 are locally flat.

Anahtar Kelimeler

Kaynakça

  1. Aslanci S, Kazimova S and Salimov A A, 2010. Some remarks concerning Riemannian extensions. Ukrainian Mathematical Journal, 62(5): 661-675.
  2. Bilen L, 2019. Projective Vector Fields on the Cotangent Bundle with Modified Riemannian Extension. Journal of the Institute of Science and Technology, 9(1): 389-396.
  3. Cruceanu V, Gadea PM and Munoz Masque J, 1995. Para-Hermitian and Para-Kahler Manifolds. Quaderni Inst. Math. Messina, 2: 1-70.
  4. Etayo F and Gadea PM, 1992. Paraholomorphically projective vector field. An. St.Univ."Al. I. Cuza" Iaşi Sect. a Mat. (N. S.), 38: 201-210.
  5. Gezer A, 2011. On infinitesimal holomorfically projective transformations on the tangent bundles with respect to the Sasaki metric. Proc. Est. Acad. Sci, 60(3): 149-157
  6. Hasegawa I and Yamauchi K, 1979. On infinitesimal holomorphically projective transformations in compact Kaehlerian manifolds. Hokkaido Math. J, 8: 214–219.
  7. Hasegawa I and Yamauchi K, 2003. Infinitesimal holomorphically projective transformations on the tangent bundles with horizontal lift connection and adapted almost complex structure. J. Hokkaido Univ. Education, 53: 1–8.
  8. Hasegawa I and Yamauchi K, 2005. Infinitesimal holomorphically projective transformations on the tangent bundles with complete lift connection. Differ. Geom. Dyn. Syst, 7: 42–48.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

15 Aralık 2020

Gönderilme Tarihi

13 Mart 2020

Kabul Tarihi

7 Haziran 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 10 Sayı: 4

Kaynak Göster

APA
Bilen, L. (2020). Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension. Journal of the Institute of Science and Technology, 10(4), 2872-2880. https://doi.org/10.21597/jist.703428
AMA
1.Bilen L. Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension. Iğdır Üniv. Fen Bil Enst. Der. 2020;10(4):2872-2880. doi:10.21597/jist.703428
Chicago
Bilen, Lokman. 2020. “Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension”. Journal of the Institute of Science and Technology 10 (4): 2872-80. https://doi.org/10.21597/jist.703428.
EndNote
Bilen L (01 Aralık 2020) Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension. Journal of the Institute of Science and Technology 10 4 2872–2880.
IEEE
[1]L. Bilen, “Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension”, Iğdır Üniv. Fen Bil Enst. Der., c. 10, sy 4, ss. 2872–2880, Ara. 2020, doi: 10.21597/jist.703428.
ISNAD
Bilen, Lokman. “Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension”. Journal of the Institute of Science and Technology 10/4 (01 Aralık 2020): 2872-2880. https://doi.org/10.21597/jist.703428.
JAMA
1.Bilen L. Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension. Iğdır Üniv. Fen Bil Enst. Der. 2020;10:2872–2880.
MLA
Bilen, Lokman. “Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension”. Journal of the Institute of Science and Technology, c. 10, sy 4, Aralık 2020, ss. 2872-80, doi:10.21597/jist.703428.
Vancouver
1.Lokman Bilen. Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension. Iğdır Üniv. Fen Bil Enst. Der. 01 Aralık 2020;10(4):2872-80. doi:10.21597/jist.703428