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PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS

Yıl 2010, Cilt: 39 Sayı: 4, 535 - 543, 01.04.2010

Öz

We consider an anti-invariant, minimal, pseudoparallel and Riccigeneralized pseudoparallel submanifold M of a Kenmotsu space form Mf(c), for which ξ is tangent to M.

Kaynakça

  • Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel immersions in space forms, Math. Contemp. 17, 59–70, 1999.
  • Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel submanifolds of a space form, Adv. Geom. 2 (1), 57–71, 2002.
  • Blair, D. E. Riemannian Geometry of Contact and Symplectic Manifolds (Progress in Math- ematics, 203, Birkhauser Inc., Boston, MA, 2002).
  • Chen, B. Y. Geometry of Submanifolds and its Applications (Science University of Tokyo, Tokyo, 1981).
  • Deszcz, R. On pseudosymmetric spaces, Bull. Soc. Belg. Math., Ser. A, 44, 1–34, 1992.
  • Deszcz, R., Verstraelen, L. and Yaprak, S. Pseudosymmetric hypersurfaces in 4-dimensional space of constant curvature, Bull. Ins. Math. Acad. Sinica, 22, 167–179, 1994.
  • Kenmotsu, K. A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24 (2), –103, 1972.
  • Kobayashi, M. Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor (N.S.) 43, 28–36, 1986.
  • Murathan, C., Arslan, K. and Ezenta¸s, R. Ricci Generalized Pseudo-parallel Immersions (Differential Geometry and its Applications, Matfyzpress, Prague, 2005), 99–108.
  • ¨Ozg¨ur, C., Sular, S. and Murathan, C. On pseudoparallel invariant submanifolds of contact metric manifolds, Bull. Transilv. Univ. Bra¸sov Ser. B (N.S.) 14 (49), 227–234, 2007.
  • Sular, S., ¨Ozg¨ur, C. and Murathan, C. On pseudoparallel, invariant submanifolds of Ken- motsu manifolds, Submitted. Yıldız, A., Murathan, C., Arslan, K. and Ezenta¸s, R. C-totally real pseudo-parallel subman- ifolds of Sasakian space forms, Monatshefte f¨ur Mathematik 151 (3), 247–256, 2007.
  • Yıldız, A. and Murathan, C. Invariant submanifolds of Sasakian space forms, Journal of Geometry 95 (1-2), 135–150, 2009.

PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS

Yıl 2010, Cilt: 39 Sayı: 4, 535 - 543, 01.04.2010

Öz

Kaynakça

  • Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel immersions in space forms, Math. Contemp. 17, 59–70, 1999.
  • Asperti, A. C., Lobos, G. A. and Mercuri, F. Pseudo-parallel submanifolds of a space form, Adv. Geom. 2 (1), 57–71, 2002.
  • Blair, D. E. Riemannian Geometry of Contact and Symplectic Manifolds (Progress in Math- ematics, 203, Birkhauser Inc., Boston, MA, 2002).
  • Chen, B. Y. Geometry of Submanifolds and its Applications (Science University of Tokyo, Tokyo, 1981).
  • Deszcz, R. On pseudosymmetric spaces, Bull. Soc. Belg. Math., Ser. A, 44, 1–34, 1992.
  • Deszcz, R., Verstraelen, L. and Yaprak, S. Pseudosymmetric hypersurfaces in 4-dimensional space of constant curvature, Bull. Ins. Math. Acad. Sinica, 22, 167–179, 1994.
  • Kenmotsu, K. A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24 (2), –103, 1972.
  • Kobayashi, M. Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor (N.S.) 43, 28–36, 1986.
  • Murathan, C., Arslan, K. and Ezenta¸s, R. Ricci Generalized Pseudo-parallel Immersions (Differential Geometry and its Applications, Matfyzpress, Prague, 2005), 99–108.
  • ¨Ozg¨ur, C., Sular, S. and Murathan, C. On pseudoparallel invariant submanifolds of contact metric manifolds, Bull. Transilv. Univ. Bra¸sov Ser. B (N.S.) 14 (49), 227–234, 2007.
  • Sular, S., ¨Ozg¨ur, C. and Murathan, C. On pseudoparallel, invariant submanifolds of Ken- motsu manifolds, Submitted. Yıldız, A., Murathan, C., Arslan, K. and Ezenta¸s, R. C-totally real pseudo-parallel subman- ifolds of Sasakian space forms, Monatshefte f¨ur Mathematik 151 (3), 247–256, 2007.
  • Yıldız, A. and Murathan, C. Invariant submanifolds of Sasakian space forms, Journal of Geometry 95 (1-2), 135–150, 2009.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

Sibel Sular Bu kişi benim

Cihan Özgür Bu kişi benim

 cengizhan Murathan Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 39 Sayı: 4

Kaynak Göster

APA Sular, S., Özgür, C., & Murathan, . (2010). PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics, 39(4), 535-543.
AMA Sular S, Özgür C, Murathan . PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics. Nisan 2010;39(4):535-543.
Chicago Sular, Sibel, Cihan Özgür, ve  cengizhan Murathan. “PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics 39, sy. 4 (Nisan 2010): 535-43.
EndNote Sular S, Özgür C, Murathan  (01 Nisan 2010) PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics 39 4 535–543.
IEEE S. Sular, C. Özgür, ve  . Murathan, “PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS”, Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 4, ss. 535–543, 2010.
ISNAD Sular, Sibel vd. “PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics 39/4 (Nisan 2010), 535-543.
JAMA Sular S, Özgür C, Murathan . PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics. 2010;39:535–543.
MLA Sular, Sibel vd. “PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 4, 2010, ss. 535-43.
Vancouver Sular S, Özgür C, Murathan . PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS. Hacettepe Journal of Mathematics and Statistics. 2010;39(4):535-43.