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Dergiler / Turkish Journal of Mathematics / 2006 / Cilt: 30 - Sayı: 2

On Lifts of Paracomplex Structures

Mehmet TEKKOYUN
Sayfa
197–210
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we obtain integrability on paracomplex tangent bundle.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle.
📊
Temel Bulgular & Veri:In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle.
💡
Sonuç & Katkı:Also, we obtain integrability on paracomplex tangent bundle.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Paracomplex structure · paracomplex manifold · vertical lift

Özet

In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle. Also, we obtain integrability on paracomplex tangent bundle.

Abstract

In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle. Also, we obtain integrability on paracomplex tangent bundle.

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Bu Makaleye Atıf Yap

TEKKOYUN, M. (2022). On Lifts of Paracomplex Structures. Turkish Journal of Mathematics, Cilt: 30 - Sayı: 2, 197–210. https://ajindex.com/articles/608712

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Kaynakça (9)

  1. Brickell, F., Clark, R.S.: Differentiable Manifolds, VRN Company, London, 1970
  2. De Leon M., Rodrigues P.R.: Methods of Differential Geometry in Analytical Mechanics, North-Hol. Math. St.,152, Elsevier Sc. Pub. Com., Inc.,Amsterdam, 1989
  3. Dodson, C.T.J., Poston, T.: Tensor Geometry, Pitman XIII., 598, London, 1979
  4. Etoya, J.J.: On a Complete Lifting of Derivations, Tensor, Vol. 38, pp.169-178(1982)
  5. Tekkoyun M., Civelek S¸.: First Order Lifts of Complex Structures, Algebras Groups and Geometries (AGG), Vol.19, No.3, pp.373-382(2002)
  6. Tekkoyun M., Civelek S¸.: On Lifts of Structures on Complex Manifolds, Differential Geometry-Dynamics Systems Vol.5, No.1, pp.59-64(2003) Tekkoyun M.: On Horizontal Lifts of Complex Structures, Hadronic Journal Supplement (HJS), Vol.18, No:4, pp. 411-424(2003)
  7. Cruceanu V., Gadea, P.M., Masqu´e, J.M.: Para-Hermitian and Para- K¨ahler Manifolds, Supported by the commission of the European Communities Action for Cooperation in Sciences and Technology with Central Eastern European Countries n. ERB3510PL920841 Yano, K., Kon, M.: Structures on Manifolds, Volume 3, Singapore, 1984
  8. Yano, K., Patterson, Y.: Horizontal Lifts of a Manifold to its Cotangent Bundle, Jour. Math. Soc. Japan., Vol. 19, pp.185-198(1967)
  9. Yano, K., Ishihara, S.: Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, Mehmet TEKKOYUN Department of Mathematics, Faculty of Science and Art, Pamukkale University, Denizli-TURKEY e-mail: [email protected]