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Dergiler / Turkish Journal of Mathematics and Computer Science / 2021 / Volume: 13 Issue: 2

A Study of Para-K\"{a}hler-Norden Structures on Cotangent Bundle with The New Class of Metrics

Abderrahım Zagane(University Ahmed Zabana-Relizane)0000-0001-9339-3787
Zagane Mohammed(University Mustapha Stambouli of Mascara)0000-0003-2508-0265
Sayfa
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Yayın Tarihi
2021-12-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The main purpose of the present paper is to study almost para-complex-Norden properties concerning new class of metrics on the cotangent bundle.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The main purpose of the present paper is to study almost para-complex-Norden properties concerning new class of metrics on the cotangent bundle.
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Temel Bulgular & Veri:The main purpose of the present paper is to study almost para-complex-Norden properties concerning new class of metrics on the cotangent bundle.
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Sonuç & Katkı:The main purpose of the present paper is to study almost para-complex-Norden properties concerning new class of metrics on the cotangent bundle.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cotangent bundles · horizontal lift and vertical lift · new class of metrics

Abstract

The main purpose of the present paper is to study almost para-complex-Norden properties concerning new class of metrics on the cotangent bundle.

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Bu Makaleye Atıf Yap

Zagane, A., Mohammed, Z. (2021). A Study of Para-K\"{a}hler-Norden Structures on Cotangent Bundle with The New Class of Metrics. Turkish Journal of Mathematics and Computer Science, Volume: 13 Issue: 2. https://doi.org/10.47000/tjmcs.867188

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Kaynakça (24)

  1. Ağca, F., g-Natural metrics on the cotangent bundle, Int. Electron. J. Geom., 6(1)(2013), 129–146.
  2. Ağca, F., Salimov, A.A., Some notes concerning Cheeger-Gromoll metrics, Hacet. J. Math. Stat., 42(5)(2013), 533–549.
  3. Cruceanu, V., Une classe de structures g´eom´etriques sur le fibre cotangent, Tensor (N.S.), 53(1993), 196–201.
  4. Cruceanu, V., Fortuny P., Gadea, P.M., A survey on paracomplex geometry, Rocky Mountain J. Math., 26(1996), 83–115.
  5. De Leon, M., Rodrigues P.R., Methods of Di erential Geometry in Analytical Mechanics, North-Holland Mathematics Studies, 1989.
  6. Ganchev, G.T., Borisov, A.V., Note on the almost complex manifolds with a Norden metric, C. R. Acad. Bulgarie Sci., 39(5)(1986) 31–34.
  7. Gezer, A., On the tangent bundle with deformed Sasaki metric, Int. Electron. J. Geom., 6(2)(2013), 19–31.
  8. Gezer, A., Altunbas, M., Notes on the rescaled Sasaki type metric on the cotangent bundle, Acta Math. Sci. Ser. B (Engl. Ed.) 34(1)(2014), 162–174.
  9. Gezer, A., Altunbas, M., On the geometry of the rescaled Riemannian metric on tensor bundles of arbitrary type, Kodai Math. J. 38(1)(2015), 37–64.
  10. Gezer, A. Altunbas, M., On the rescaled Riemannian metric of Cheeger Gromoll type on the cotangent bundle, Hacet. J. Math. Stat., 45(2)(2016), 355–365.
  11. Manev, M., Mekerov, D., On Lie groups as quasi-K¨ahler manifolds with killing Norden metric, Adv. Geom., 8(3)(2008),343–352.
  12. Ocak, F., Kazimova, S., On a new metric in the cotangent bundle, Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci., 38(1)(2018), 128–138.
  13. Patterson, E.M., Walker, A.G., Riemannian extensions, Quart. J.Math. Oxford Ser. 2(3)(1952), 19–28.
  14. Salimov, A.A., Ağca, F., Some properties of Sasakian metrics in cotangent bundles, Mediterr. J. Math., 8(2)(2011), 243–255.
  15. Salimov, A.A., Gezer, A., Iscan, M.,On para-Kahler-Norden structures on the tangent bundles, Ann. Polon. Math., 103(3)(2012), 247–261.
  16. Salimov, A.A., Iscan, M., Akbulut, K., Notes on para-Norden-Walker 4-manifolds, Int. J. Geom. Methods Mod. Phys., 7(8)(2010), 1331–1347.
  17. Salimov, A.A., Iscan, M., Etayo F., Para-holomorphic B-manifold and its properties, Topology Appl., 154(4)(2007), 925–933.
  18. Sasaki, S., On the differential geometry of tangent bundles of Riemannian manifolds II, Tohoku Math. J. 14(1962), 146–155.
  19. Sekizawa, M., Natural transformations of affine connections on manifolds to metrics on cotangent bundles, In: Proceedings of 14th Winter School on Abstract Analysis (Srni, 1986), Rend. Circ. Mat. Palermo 14(1987) 129–142.
  20. Wang, J., Wang, Y., On the geometry of tangent bundles with the rescaled metric, arXiv:1104.5584v1.
  21. Yano, K., Ako, M., On certain operators associated with tensor field, Kodai Math. Sem. Rep., 20(1968), 414–436.
  22. Yano, K., Ishihara, S., Tangent and Cotangent Bundle, Marcel Dekker Inc., New York, 1973.
  23. Zagane, A., A new class of metrics on the cotangent bundle, Bull. Transilv. Univ. Brasov Ser. III, 13(62)(1)(2020), 285–302.
  24. Zayatuev, B.V., On Some Classes of Almost-Hermitian Structures on the Tangent Bundle, Webs and Quasigroups. T.S.U., 2002.