Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 1 Sayı: 2, 1 - 7, 09.10.2019

Öz

Kaynakça

  • Referans1- A. A. Shaikh, and H. Kundu, On Equivalency of Various Geometric Structures, J. geom., 105(2014), 139-165.
  • Referans2- H. B. Pandey and A. Kumar, Anti invariant submanifolds of almost paracontact metric manifolds,Indian J. pure appl. math. 16 (6), 586-590, 1985.
  • Referans3- J. Welyczko. On Legendre curvaes in 3-dimensional normal almost paracontact metric manifolds,Result. Math. 54, 377-387, 2009.
  • Referans4- J.Welyczko. Slant curves in 3-dimensional normal contact metric manifolds, Mediterr. J. Math.11, 965-978, 2014.
  • Referans5- K. Yano and S. Sawaki, Riemannian manifolds admitting a conformal transformation group, J.Diff. Geom.2 (1968), 161-184.
  • Referans6- K. Yano, Concircular geometry, Proc. Imp. Acad., Tokyo, 16 (1940), 195-200.
  • Referans7- K. Yano and M. Kon, Structures of manifolds, World Scientific Publishing, Singapore 1984.
  • Referans8- S. Kenayuki and F. L. Williams, Almost paracontact and parahodge structures on manifolds,Nagoya Math. J., vol. 99, 173-187, 1985.
  • Referans9- S. Zamkovoy, Canonical connections on paracontact manifolds, Ann Glob. Anal. Geom., 36,37-60, 2009.
  • Referans10- Ü. Yıldırım, M. At¸ceken and S. Dirik, A normal paracontact metric manifold satisfying someconditions on the M-projective curvature tensor, Konuralp Journal of Mathematics, 7 (1), 217-221, 2019.
  • Referans11- Ü. Yıldırım, M. At¸ceken and S. Dirik, Pseudo projective curvture tensor satisfying some propertieson a normal paracontact metric manifold, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math.Stat. Vol. 68, No:1, 997-1006, 2019.
  • Referans12- Y. Ishii, On conharmonic transformations, Tensor (N.S.), 7 (1957), 73-80.

GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD

Yıl 2019, Cilt: 1 Sayı: 2, 1 - 7, 09.10.2019

Öz

The aim of present paper is to study the generalized B-curvature tensor of a normal paracontact metric manifold satisfying the conditions generalized B-flatness, generalized B-semi symmetric, B.  Z = 0, B.S = 0 and B.P = 0where B, Z, P, S denotes the generalized B-curvature tensor, concircular curvature tensor, projective curvature tensor and Ricci tensor, respectively.

Kaynakça

  • Referans1- A. A. Shaikh, and H. Kundu, On Equivalency of Various Geometric Structures, J. geom., 105(2014), 139-165.
  • Referans2- H. B. Pandey and A. Kumar, Anti invariant submanifolds of almost paracontact metric manifolds,Indian J. pure appl. math. 16 (6), 586-590, 1985.
  • Referans3- J. Welyczko. On Legendre curvaes in 3-dimensional normal almost paracontact metric manifolds,Result. Math. 54, 377-387, 2009.
  • Referans4- J.Welyczko. Slant curves in 3-dimensional normal contact metric manifolds, Mediterr. J. Math.11, 965-978, 2014.
  • Referans5- K. Yano and S. Sawaki, Riemannian manifolds admitting a conformal transformation group, J.Diff. Geom.2 (1968), 161-184.
  • Referans6- K. Yano, Concircular geometry, Proc. Imp. Acad., Tokyo, 16 (1940), 195-200.
  • Referans7- K. Yano and M. Kon, Structures of manifolds, World Scientific Publishing, Singapore 1984.
  • Referans8- S. Kenayuki and F. L. Williams, Almost paracontact and parahodge structures on manifolds,Nagoya Math. J., vol. 99, 173-187, 1985.
  • Referans9- S. Zamkovoy, Canonical connections on paracontact manifolds, Ann Glob. Anal. Geom., 36,37-60, 2009.
  • Referans10- Ü. Yıldırım, M. At¸ceken and S. Dirik, A normal paracontact metric manifold satisfying someconditions on the M-projective curvature tensor, Konuralp Journal of Mathematics, 7 (1), 217-221, 2019.
  • Referans11- Ü. Yıldırım, M. At¸ceken and S. Dirik, Pseudo projective curvture tensor satisfying some propertieson a normal paracontact metric manifold, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math.Stat. Vol. 68, No:1, 997-1006, 2019.
  • Referans12- Y. Ishii, On conharmonic transformations, Tensor (N.S.), 7 (1957), 73-80.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Mehmet Atçeken 0000-0001-8665-5945

Ümit Yıldırım 0000-0002-7178-4223

Süleyman Dirik 0000-0001-9093-1607

Yayımlanma Tarihi 9 Ekim 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 1 Sayı: 2

Kaynak Göster

APA Atçeken, M., Yıldırım, Ü., & Dirik, S. (2019). GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD. Hagia Sophia Journal of Geometry, 1(2), 1-7.