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Some Results on 𝑫-Homothetic Deformations

Yıl 2018, Cilt: 18 Sayı: 3, 878 - 883, 30.12.2018

Öz

The main goal of this article is to investigate the 𝐷-homothetic deformation of an almost alpha cosymplectic manifold. Some results on almost alpha cosymplectic manifolds using 𝐷-homothetic deformation are obtained. Finally, an illustrative example is given on such manifolds

Kaynakça

  • Blair, D.E., 2002. Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics, 203. Birkhâuser, Boston, USA.
  • Blair, D.E., Koufogiorgos T. and Papantoniou, B.J., 1995. Contact metric manifolds satisfying a nullity condition,. Israel J. Math., 91, 189-214
  • . Boeckx, E., 2000. A full classification of contact metric (𝜅,𝜇)-spaces, Illinois J. Math., 44(1), 212-219.
  • Carriazo, A. and Martin-Molina, V., 2011. Generalized (𝜅,𝜇)-space forms and 𝐷𝑎-homothetic deformations, Balkan Journal of Geometry and its applications, 16 (1), 37-47.
  • Dacko, P. and Olszak, Z., 2005. On almost cosymplectic (𝜅,𝜇,𝜈)-spaces, Banach Center Publ., 69, 211-220.
  • Dacko, P. and Olszak, Z., 2005. On almost cosymplectic (−1,𝜇,0)-spaces, Cent. Eur. J. Math., 3(2), 318-330.
  • De, U.C. and Ghosh, S., 2013. 𝐷-homothetic deformation of normal almost contact metric manifolds, Ukrainian Math. J., 65(10), 1330-1345
  • . Öztürk, H., Aktan, N., Murathan C. and Vanlı, A.T., 2014. Almost 𝛼-cosymplectic 𝑓-manifolds. The J. Alexandru Ioan Cuza Univ., 60, 211-226.
  • Öztürk, H., Mısırlı İ. and Öztürk, S., 2017. Almost alpha- Cosymplectic Manifolds with eta-parallel tensor fields, Academic Journal of Science, 7(3), 605-612.
  • Öztürk, H., 2016. On Almost α-Kenmotsu Manifolds with Some Tensor Fields, AKU J. Sci. Eng., 16(2), 256-264.
  • Kenmotsu, K., 1972. A class of contact Riemannian Some manifold, Tohoku Math. J., 24, 93-103.
  • Kim, T.W. and Pak, H.K., 2005. Canonical foliations of certain classes of almost contact metric structures, Acta Math. Sinica Eng. Ser., 21(4), 841-846.
  • Montano, C.B. and Terlizzi, D.L., 2007. 𝐷-homothetic transformations for a generalized of contact metric manifolds, Bull. Belg. Math. Soc. Simon Steven, 14, 277-289.
  • Olszak, Z., 1989. Locally conformal almost cosymplectic manifolds, Coll. Math., 57, 73-87
  • . Tanno, S., 1968. The topology of contact Riemannian manifolds, Tohoku Math. J., 12, 700-712.
  • Vaisman, I., 1980. Conformal changes of almost contact metric manifolds, Lecture Notes in Math., Berlin-Heidelberg-New York, 792, 435-443.
  • Yano, K. and Kon, M., 1984. Structures on Manifolds, Series in Pure Math., 3. World Scientific Publishing, Singapore.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Hakan Öztürk

Sermin Öztürk

Yayımlanma Tarihi 30 Aralık 2018
Gönderilme Tarihi 2 Ağustos 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 18 Sayı: 3

Kaynak Göster

APA Öztürk, H., & Öztürk, S. (2018). Some Results on 𝑫-Homothetic Deformations. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 18(3), 878-883.
AMA Öztürk H, Öztürk S. Some Results on 𝑫-Homothetic Deformations. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. Aralık 2018;18(3):878-883.
Chicago Öztürk, Hakan, ve Sermin Öztürk. “Some Results on 𝑫-Homothetic Deformations”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18, sy. 3 (Aralık 2018): 878-83.
EndNote Öztürk H, Öztürk S (01 Aralık 2018) Some Results on 𝑫-Homothetic Deformations. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18 3 878–883.
IEEE H. Öztürk ve S. Öztürk, “Some Results on 𝑫-Homothetic Deformations”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 18, sy. 3, ss. 878–883, 2018.
ISNAD Öztürk, Hakan - Öztürk, Sermin. “Some Results on 𝑫-Homothetic Deformations”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 18/3 (Aralık 2018), 878-883.
JAMA Öztürk H, Öztürk S. Some Results on 𝑫-Homothetic Deformations. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2018;18:878–883.
MLA Öztürk, Hakan ve Sermin Öztürk. “Some Results on 𝑫-Homothetic Deformations”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 18, sy. 3, 2018, ss. 878-83.
Vancouver Öztürk H, Öztürk S. Some Results on 𝑫-Homothetic Deformations. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2018;18(3):878-83.