Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2012, Cilt: 5 Sayı: 1, 163 - 170, 30.04.2012

Öz

Kaynakça

  • [1] Chen, B.-Y., Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions, Glasgow Math. J. 41 (1999), 33-41.
  • [2] Chen, B.-Y., Interaction of Legendre curves and Lagrangian submanifolds, Isreal J. Math. 99 (1997), 69-108.
  • [3] Chen,B.-Y., Pseudo-Riemannian geometry, δ invariants and applications, World Scientific, 2011.
  • [4] Chen, B.-Y. and Houh, C.-S., Totally real submanifolds of a quaternion projective space, Ann. Mat. Pura Appl. 120 (1974), 185-199.
  • [5] Deng, S., An improved Chen-Ricci Inequality, Int. Electron. J. Geom. 2 (2009), no.2, 39-45.
  • [6] Ishihara, S., Quaternion Kahlerian manifolds, J. Diff. Geom.9 (1974), 483-500.
  • [7] Liu, X., On Ricci curvature of totally real submanifolds in a quaternion projective space, Arch Math. (Brno), 38 (2002), 297-305.
  • [8] Liu, X. and Dai, W., Ricci curvature of submanifolds in a quaternion projective space, Com- mun. Korean Math. Soc.17 (2002), No.4, 625-633.
  • [9] Oh, Y. M., Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces,arXiv:math/0311065v1 5 Nov 2003.
  • [10] Oprea, T., On a geometric inequality, arXiv:math.DG/0511088v1 3 Nov 2005.
  • [11] Oprea, T., Ricci curvature of Lagrangian submanifolds in complex space forms , Math. In- equal. Appl. 13(2010), no. 4, 851-858.
  • [12] Tripathi, M. M., Improved Chen-Ricci inequality for curvature-like tensors and its application, Differen. Geom. Appl. 29 (2011), no. 5, 685-698.
  • [13] Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Sci- entific Publishing Co., Singapore, 1984.

IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS

Yıl 2012, Cilt: 5 Sayı: 1, 163 - 170, 30.04.2012

Öz


Kaynakça

  • [1] Chen, B.-Y., Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions, Glasgow Math. J. 41 (1999), 33-41.
  • [2] Chen, B.-Y., Interaction of Legendre curves and Lagrangian submanifolds, Isreal J. Math. 99 (1997), 69-108.
  • [3] Chen,B.-Y., Pseudo-Riemannian geometry, δ invariants and applications, World Scientific, 2011.
  • [4] Chen, B.-Y. and Houh, C.-S., Totally real submanifolds of a quaternion projective space, Ann. Mat. Pura Appl. 120 (1974), 185-199.
  • [5] Deng, S., An improved Chen-Ricci Inequality, Int. Electron. J. Geom. 2 (2009), no.2, 39-45.
  • [6] Ishihara, S., Quaternion Kahlerian manifolds, J. Diff. Geom.9 (1974), 483-500.
  • [7] Liu, X., On Ricci curvature of totally real submanifolds in a quaternion projective space, Arch Math. (Brno), 38 (2002), 297-305.
  • [8] Liu, X. and Dai, W., Ricci curvature of submanifolds in a quaternion projective space, Com- mun. Korean Math. Soc.17 (2002), No.4, 625-633.
  • [9] Oh, Y. M., Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces,arXiv:math/0311065v1 5 Nov 2003.
  • [10] Oprea, T., On a geometric inequality, arXiv:math.DG/0511088v1 3 Nov 2005.
  • [11] Oprea, T., Ricci curvature of Lagrangian submanifolds in complex space forms , Math. In- equal. Appl. 13(2010), no. 4, 851-858.
  • [12] Tripathi, M. M., Improved Chen-Ricci inequality for curvature-like tensors and its application, Differen. Geom. Appl. 29 (2011), no. 5, 685-698.
  • [13] Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Sci- entific Publishing Co., Singapore, 1984.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Shangrong Deng Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 5 Sayı: 1

Kaynak Göster

APA Deng, S. (2012). IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS. International Electronic Journal of Geometry, 5(1), 163-170.
AMA Deng S. IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS. Int. Electron. J. Geom. Nisan 2012;5(1):163-170.
Chicago Deng, Shangrong. “IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS”. International Electronic Journal of Geometry 5, sy. 1 (Nisan 2012): 163-70.
EndNote Deng S (01 Nisan 2012) IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS. International Electronic Journal of Geometry 5 1 163–170.
IEEE S. Deng, “IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS”, Int. Electron. J. Geom., c. 5, sy. 1, ss. 163–170, 2012.
ISNAD Deng, Shangrong. “IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS”. International Electronic Journal of Geometry 5/1 (Nisan 2012), 163-170.
JAMA Deng S. IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS. Int. Electron. J. Geom. 2012;5:163–170.
MLA Deng, Shangrong. “IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS”. International Electronic Journal of Geometry, c. 5, sy. 1, 2012, ss. 163-70.
Vancouver Deng S. IMPROVED CHEN-RICCI INEQUALITY FOR LAGRANGIAN SUBMANIFOLDS IN QUATERNION SPACE FORMS. Int. Electron. J. Geom. 2012;5(1):163-70.