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Musical Isomorphisms on the Semi-Tensor Bundles

Yıl 2018, Cilt: 6 Sayı: 1, 171 - 177, 15.04.2018

Öz

We transfer vertical lifts and complete lifts of some tensor fields from the semi-tangent bundle $tM$ to the semi-cotangent bundle $t^{\ast }M$ \ using a musical isomorphism between these bundles. In this article, we also analyze complete lift of vector and affinor (tensor of type $(1,1)$) fields for semi-tangent (pull-back) bundle $tM$. Finally, we study compatibility of transferring lifts with complete lifts in the semi-cotangent bundle $t^{\ast }M$.

Kaynakça

  • [1] A. A. Salimov, E. Kadioglu Lifts of derivations to the semitangent bundle. Turk J Math 2000; 24: 259-266.
  • [2] D. Husem¨oller, Fibre Bundles. New York, NY, USA: Springer, 1994.
  • [3] F. Yildirim, On a special class of semi-cotangent bundle, Proceedings of the Institute of Mathematics and Mechanics, (ANAS) 41 (2015), no. 1, 25-38.
  • [4] F. Yildirim and A. Salimov, Semi-cotangent bundle and problems of lifts, Turk J. Math, (2014), 38, 325-339.
  • [5] H.B. Lawson and M.L. Michelsohn, Spin Geometry, Princeton University Press., Princeton, 1989.
  • [6] K. Yano and S. Ishihara, Tangent and Cotangent Bundles , Marcel Dekker, Inc., New York, 1973.
  • [7] N. Steenrod, The Topology of Fibre Bundles. Princeton University Press., Princeton, 1951.
  • [8] R. Cakan, K. Akbulut, A. Salimov, Musical isomorphisms and problems of lifts, Chin. Ann. Math. Ser. B. (2016) 37: 323.
  • [9] T.V. Duc, Structure presque-transverse. J. Diff. Geom., 14(1979), No:2, 215-219.
  • [10] V. V. Vishnevskii, Integrable affinor structures and their plural interpretations, Geometry, 7.J. Math. Sci., (New York) 108 (2002), no. 2, 151-187.
  • [11] V. Vishnevskii, A.P. Shirokov and V.V. Shurygin, Spaces over Algebras. Kazan. Kazan Gos. Univ. 1985 (in Russian).
Yıl 2018, Cilt: 6 Sayı: 1, 171 - 177, 15.04.2018

Öz

Kaynakça

  • [1] A. A. Salimov, E. Kadioglu Lifts of derivations to the semitangent bundle. Turk J Math 2000; 24: 259-266.
  • [2] D. Husem¨oller, Fibre Bundles. New York, NY, USA: Springer, 1994.
  • [3] F. Yildirim, On a special class of semi-cotangent bundle, Proceedings of the Institute of Mathematics and Mechanics, (ANAS) 41 (2015), no. 1, 25-38.
  • [4] F. Yildirim and A. Salimov, Semi-cotangent bundle and problems of lifts, Turk J. Math, (2014), 38, 325-339.
  • [5] H.B. Lawson and M.L. Michelsohn, Spin Geometry, Princeton University Press., Princeton, 1989.
  • [6] K. Yano and S. Ishihara, Tangent and Cotangent Bundles , Marcel Dekker, Inc., New York, 1973.
  • [7] N. Steenrod, The Topology of Fibre Bundles. Princeton University Press., Princeton, 1951.
  • [8] R. Cakan, K. Akbulut, A. Salimov, Musical isomorphisms and problems of lifts, Chin. Ann. Math. Ser. B. (2016) 37: 323.
  • [9] T.V. Duc, Structure presque-transverse. J. Diff. Geom., 14(1979), No:2, 215-219.
  • [10] V. V. Vishnevskii, Integrable affinor structures and their plural interpretations, Geometry, 7.J. Math. Sci., (New York) 108 (2002), no. 2, 151-187.
  • [11] V. Vishnevskii, A.P. Shirokov and V.V. Shurygin, Spaces over Algebras. Kazan. Kazan Gos. Univ. 1985 (in Russian).
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Semra Yurttançıkmaz

Furkan Yıldırım

Yayımlanma Tarihi 15 Nisan 2018
Gönderilme Tarihi 2 Temmuz 2017
Kabul Tarihi 6 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 6 Sayı: 1

Kaynak Göster

APA Yurttançıkmaz, S., & Yıldırım, F. (2018). Musical Isomorphisms on the Semi-Tensor Bundles. Konuralp Journal of Mathematics, 6(1), 171-177.
AMA Yurttançıkmaz S, Yıldırım F. Musical Isomorphisms on the Semi-Tensor Bundles. Konuralp J. Math. Nisan 2018;6(1):171-177.
Chicago Yurttançıkmaz, Semra, ve Furkan Yıldırım. “Musical Isomorphisms on the Semi-Tensor Bundles”. Konuralp Journal of Mathematics 6, sy. 1 (Nisan 2018): 171-77.
EndNote Yurttançıkmaz S, Yıldırım F (01 Nisan 2018) Musical Isomorphisms on the Semi-Tensor Bundles. Konuralp Journal of Mathematics 6 1 171–177.
IEEE S. Yurttançıkmaz ve F. Yıldırım, “Musical Isomorphisms on the Semi-Tensor Bundles”, Konuralp J. Math., c. 6, sy. 1, ss. 171–177, 2018.
ISNAD Yurttançıkmaz, Semra - Yıldırım, Furkan. “Musical Isomorphisms on the Semi-Tensor Bundles”. Konuralp Journal of Mathematics 6/1 (Nisan 2018), 171-177.
JAMA Yurttançıkmaz S, Yıldırım F. Musical Isomorphisms on the Semi-Tensor Bundles. Konuralp J. Math. 2018;6:171–177.
MLA Yurttançıkmaz, Semra ve Furkan Yıldırım. “Musical Isomorphisms on the Semi-Tensor Bundles”. Konuralp Journal of Mathematics, c. 6, sy. 1, 2018, ss. 171-7.
Vancouver Yurttançıkmaz S, Yıldırım F. Musical Isomorphisms on the Semi-Tensor Bundles. Konuralp J. Math. 2018;6(1):171-7.
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