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Complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles

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The aim of the present paper is to study complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles. Some curvature properties of a Riemannian manifold to its tangent bundles with respect to such a connection have been investigated.

Abstract

The aim of the present paper is to study complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles. Some curvature properties of a Riemannian manifold to its tangent bundles with respect to such a connection have been investigated.

참고문헌 (41)

  1. N. S. Agashe, "A semi-symmetric nonmetric connection on a Riemannian manifold", Indian J. Pure Appl. Math, 23(6), pp.399~409 (1992)
  2. R. C. Akpinar, "Weyl connection on tangent bundle of hypersurface", Int. J. Maps Math, 4(1), pp.2~13 (2021)
  3. M. Altunbas, "Remarks about the Kaluza-Klein metric on tangent bundle", Int. J. Geom. Methods Mod. Phys, 16(3), pp.1950040~1950052 (2019)[DOI]
  4. M. Altunbas, "Metallic structures on tangent bundles of Lorentzian para-Sasakian manifolds", Journal of Mahani Mathematical Research, 12(1), pp.137~149 (2023)
  5. O. C. Andonie, "On semi-symmetric non-metric connection on a Riemannian manifold", Ann. Fac. Sci. De Kinshasa, Zaire Sect. Math. Phys, 2 (1976)
  6. T. Q. Binh, "On semi-symmetric connections", Period. Math. Hungar, 21(2), pp.101~107 (1990)[DOI]
  7. S. C. Biswas, "On a type of semi-symmetric non-metric connection on a Riemannian manifold", Ganita, 48(2), pp.91~94 (1997)
  8. M. C. Chaki, "On pseudo symmetric manifolds", An. S¸tiint¸. Univ. Al. I. Cuza Ia¸si Sect¸. I a Mat, 33(1), pp.53~58 (1987)
  9. L. S. K. Das, "Almost r-contact structures on the tangent bundle", Differ. Geom. Dyn. Syst, 7, pp.34~41 (2005)
  10. L. S. K. Das, "Symmetric and Ricci LP-Sasakian manifold", Math. Sci. Research J, 17(10), pp.263~268 (2013)
  11. L. S. K. Das, "On submanifolds of codimension 2 immersed in a Hsu-quaternion manifold", Acta Math. Acad. Paedagog. Nyh´azi. (N.S.), 25(1), pp.129~135 (2009)
  12. U. C. De, "A special type of semi-symmetric non-metric connection on a Riemannian manifold", Facta Univ. Ser. Math. Inform, 31(2), pp.529~541 (2016)
  13. M. H. Dida, "Ricci soliton on the tangent bundle with semi-symmetric metric connection", Bull. Transilv. Univ. Bra¸sov Ser. III. Math. Comput. Sci, 1(63)(2), pp.37~52 (2021)
  14. M. H. Dida, "On the geometry of the second order tangent bundle with the diagonal lift metric", Int. J. Math. Anal. (Ruse), 3(9-12), pp.443~456 (2009)
  15. M. H. Dida, "A class of metrics on tangent bundles of pseudo-Riemannian manifolds", Arch. Math. (Brno), 47(4), pp.293~308 (2011)
  16. A. Friedmann, "¨ Uber die Geometrie der halbsymmetrischen ¨ Ubertragungen", Math. Z, 21(1), pp.211~223 (1924)[DOI]
  17. H. A. Hayden, "Sub-spaces of a space with torsion", Proc. London Math. Soc. (2), 34(1), pp.27~50 (1932)[DOI]
  18. A. Kazan, "Locally decomposable golden Riemannian tangent bundles with Cheeger-Gromoll metric", Miskolc Math. Notes, 17(1), pp.399~411 (2016)[DOI]
  19. M. N. I. Khan, "Quarter-symmetric semi-metric connection on Sasakian manifold", Tensor(N. S. ), 68(2), pp.154~157 (2007)
  20. M. N. I. Khan, "Lifts of hypersurfaces with quarter-symmetric semi-metric connection to tangent bundles", Afr. Mat, 25(2), pp.475~482 (2014)[DOI]
  21. M. N. I. Khan, "Lift of semi-symmetric non-metric connection on a K¨ahler manifold", Afr. Mat, 27(3-4), pp.345~352 (2016)[DOI]
  22. M. N. I. Khan, "Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold", Chaos, Solitons & Fractals, 146, pp.110872~ (2021)
  23. M. N. I. Khan, "Proposed theorems for lifts of the extended almost complex structures on the complex manifold", Asian-Eur. J. Math, 15(11), pp.2250200~2250212 (2022)[DOI]
  24. M. N. I. Khan, "Liftings of metallic structures to tangent bundles of order r", AIMS Math, 7(5), pp.7888~7897 (2022)[DOI]
  25. M. N. I. Khan, "Lifts of metallic structure on a cross-section", Filomat, 36(18), pp.6369~6373 (2022)
  26. M. N. I. Khan, "Lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle", Mathematics, 11, pp.53~ (2023)
  27. Y. X. Liang, "On semi-symmetric recurrent-metric connection", Tensor(N. S. ), 55(2), pp.107~112 (1994)
  28. P. Pandey, "On a K¨ahler manifold equipped with lift of quarter symmetric non-metric connection", Facta Univ. Ser. Math. Inform, 33(4), pp.539~546 (2018)
  29. E. Peyghan, "Golden Riemannian structures on the tangent bundle with g-natural metrics", Filomat, 33(8), pp.2543~2554 (2019)
  30. M. S. Prvanovi´c, "On pseudo metric semi-symmetric connections", Publ. Inst. Math. (Beograd)(N. S. ), 18(32), pp.157~164 (1975)
  31. R. N. Singh, "On the W2-curvature tensor of the semi-symmetric nonmetric connection in a Kenmotsu manifold", Novi Sad J. Math, 43(2), pp.91~105 (2013)
  32. D. Smaranda, "On semi-symmetric connection", Ann. Fac. Sci. Univ. Nat. Za¨ı re(Kinshasa)Sect. Math. -Phys, 2(2), pp.265~270 (1976)
  33. M. Tani, "Prolongations of hypersurfaces to tangent bundles", Kodai Math. Sem. Rep, 21, pp.85~96 (1969)[DOI]
  34. L. S. Velimirovi´c, "Infinitesimal deformations of curvature tensors at non-symmetric affine connection space", Mat. Vesnik, 54(3-4), pp.219~226 (2002)
  35. L. S. Velimirovi´c, "Infinitesimal deformations and Lie derivative of a non-symmetric affine connection space", Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math, 42, pp.111~121 (2003)
  36. K. Yano, "On semi-symmetric metric connection", Rev. Roumaine Math. Pures Appl, 15, pp.1579~1586 (1970)
  37. K. Yano, "Curvature and Betti numbers, Annals of Mathematics Studies, No. 32" (1953), Princeton Univ. Press
  38. K. Yano, "Tangent and cotangent bundles: differential geometry", Pure and Applied Mathematics, (16) (1973), Marcel Dekker, Inc
  39. F. ¨ O. Zengin, "On sectional curvature of a Riemannian manifold with semi-symmetric metric connection", Ann. Polon. Math, 101(2), pp.131~138 (2011)[DOI]
  40. P. Zhao, "Invariant of projective transformation of semisymmetric metric-recurrent connections and curvature tensor expressions", J. Engineering Math, 17(2), pp.105~108 (2000)
  41. P. Zhao, "Some invariant properties of semi-symmetric metric recurrent connections and curvature tensor expressions", Chinese Quart. J. Math, 19(4), pp.355~361 (2004)

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