Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 8 Sayı: 2, 349 - 354, 27.10.2020

Öz

Kaynakça

  • [1] D: E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, 2nd edn. Birkh¨auser,Boston (2010).
  • [2] D. E. Blair and V. M. Molina, Bochner and conformal flatness on normal complex contact metric manifolds, Ann Glob Anal Geom 39, (2011) 249–258 .
  • [3] D. E. Blair and A. Turgut Vanli, Corrected energy of distributions for 3-Sasakian and normal complex contact manifolds, Osaka Journal of Mathematics, 43, (2006) 193–200.
  • [4] B. J. Foreman, Complex contact manifolds and hyperk¨ahler geometry, Kodai Mathematical Journal, 23, (2000) 12–26.
  • [5] S. Ishihara and M. Konishi, Complex almost contact structures in a complex contact manifold, Kodai Mathematical Journal, 5, (1982) 30–37.
  • [6] B. Korkmaz, Normality of complex contact manifolds, Rocky Mountain J. Math. 30, (2000) 1343–1380.
  • [7] A. Turgut Vanli and D. E. Blair, The boothby-wang fibration of the iwasawa manifold as a critical point of the energy, Monatshefte f¨ur Mathematik, 147, (2006) 75–84.
  • [8] A. Turgut Vanli and I. Unal, Ricci semi-symmetric normal complex contact metric manifolds. Italian Journal of Pure and Applied Mathematics,N. 43 (2020) 477–491.
  • [9] A. Turgut Vanli and I. Unal, Conformal, concircular, quasi-conformal and conharmonic flatness on normal complex contact metric manifolds, International Journal of Geometric Methods in Modern Physics, 14, (2017) 1750067.
  • [10] A. Turgut Vanli and I. Unal, On complex h-Einstein normal complex contact metric manifolds, Communications in Mathematics and Applications, 8, (2017) 301–313.
  • [11] A. Turgut Vanli and I. Unal, H-curvature tensors on IK-normal complex contact metric manifolds, International Journal of Geometric Methods in Modern Physics, 15, (2018) 1850205.
  • [12] A. Turgut Vanli, I. Unal, and D. Ozdemir, Normal complex contact metric manifolds admitting a semi symmetric metric connection. AppliedMathematics and Nonlinear Sciences, 5,(2020) 49-66.
  • [13] A. Turgut Vanli, I. Unal and K. Avcu, On Complex Sasakian manifolds, preprint, Afrika Matematika, doi.org/10.1007/s13370-020-00840-y (2020).

Symmetry in Complex Sasakian Manifolds

Yıl 2020, Cilt: 8 Sayı: 2, 349 - 354, 27.10.2020

Öz

In this paper, we give some results on complex Sasakian manifolds. In addition, we introduce a complex $\eta -$Einstein Sasakian manifold. We study on conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor on complex Sasakian manifolds. Moreover, we examine such manifolds under the symmetry conditions with related to special curvature tensors like as conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. Furthermore, we present some properties of these curvature tensors for a complex Sasakian manifold.

Kaynakça

  • [1] D: E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, 2nd edn. Birkh¨auser,Boston (2010).
  • [2] D. E. Blair and V. M. Molina, Bochner and conformal flatness on normal complex contact metric manifolds, Ann Glob Anal Geom 39, (2011) 249–258 .
  • [3] D. E. Blair and A. Turgut Vanli, Corrected energy of distributions for 3-Sasakian and normal complex contact manifolds, Osaka Journal of Mathematics, 43, (2006) 193–200.
  • [4] B. J. Foreman, Complex contact manifolds and hyperk¨ahler geometry, Kodai Mathematical Journal, 23, (2000) 12–26.
  • [5] S. Ishihara and M. Konishi, Complex almost contact structures in a complex contact manifold, Kodai Mathematical Journal, 5, (1982) 30–37.
  • [6] B. Korkmaz, Normality of complex contact manifolds, Rocky Mountain J. Math. 30, (2000) 1343–1380.
  • [7] A. Turgut Vanli and D. E. Blair, The boothby-wang fibration of the iwasawa manifold as a critical point of the energy, Monatshefte f¨ur Mathematik, 147, (2006) 75–84.
  • [8] A. Turgut Vanli and I. Unal, Ricci semi-symmetric normal complex contact metric manifolds. Italian Journal of Pure and Applied Mathematics,N. 43 (2020) 477–491.
  • [9] A. Turgut Vanli and I. Unal, Conformal, concircular, quasi-conformal and conharmonic flatness on normal complex contact metric manifolds, International Journal of Geometric Methods in Modern Physics, 14, (2017) 1750067.
  • [10] A. Turgut Vanli and I. Unal, On complex h-Einstein normal complex contact metric manifolds, Communications in Mathematics and Applications, 8, (2017) 301–313.
  • [11] A. Turgut Vanli and I. Unal, H-curvature tensors on IK-normal complex contact metric manifolds, International Journal of Geometric Methods in Modern Physics, 15, (2018) 1850205.
  • [12] A. Turgut Vanli, I. Unal, and D. Ozdemir, Normal complex contact metric manifolds admitting a semi symmetric metric connection. AppliedMathematics and Nonlinear Sciences, 5,(2020) 49-66.
  • [13] A. Turgut Vanli, I. Unal and K. Avcu, On Complex Sasakian manifolds, preprint, Afrika Matematika, doi.org/10.1007/s13370-020-00840-y (2020).
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Aysel Vanli

Keziban Avcu 0000-0001-8250-7451

Yayımlanma Tarihi 27 Ekim 2020
Gönderilme Tarihi 16 Temmuz 2020
Kabul Tarihi 13 Ekim 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 2

Kaynak Göster

APA Vanli, A., & Avcu, K. (2020). Symmetry in Complex Sasakian Manifolds. Konuralp Journal of Mathematics, 8(2), 349-354.
AMA Vanli A, Avcu K. Symmetry in Complex Sasakian Manifolds. Konuralp J. Math. Ekim 2020;8(2):349-354.
Chicago Vanli, Aysel, ve Keziban Avcu. “Symmetry in Complex Sasakian Manifolds”. Konuralp Journal of Mathematics 8, sy. 2 (Ekim 2020): 349-54.
EndNote Vanli A, Avcu K (01 Ekim 2020) Symmetry in Complex Sasakian Manifolds. Konuralp Journal of Mathematics 8 2 349–354.
IEEE A. Vanli ve K. Avcu, “Symmetry in Complex Sasakian Manifolds”, Konuralp J. Math., c. 8, sy. 2, ss. 349–354, 2020.
ISNAD Vanli, Aysel - Avcu, Keziban. “Symmetry in Complex Sasakian Manifolds”. Konuralp Journal of Mathematics 8/2 (Ekim 2020), 349-354.
JAMA Vanli A, Avcu K. Symmetry in Complex Sasakian Manifolds. Konuralp J. Math. 2020;8:349–354.
MLA Vanli, Aysel ve Keziban Avcu. “Symmetry in Complex Sasakian Manifolds”. Konuralp Journal of Mathematics, c. 8, sy. 2, 2020, ss. 349-54.
Vancouver Vanli A, Avcu K. Symmetry in Complex Sasakian Manifolds. Konuralp J. Math. 2020;8(2):349-54.
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