Araştırma Makalesi
BibTex RIS Kaynak Göster

An Improved Chen-Ricci Inequality

Yıl 2009, Cilt: 2 Sayı: 2, 39 - 45, 30.10.2009

Öz


Kaynakça

  • [1] Borrelli, V., Chen, B.-Y. and Morvan, J.-M., Une caractérisation gómètrique de la sphère de Whitney, C. R. Acad. Sci. Paris S´er. I Math. 321 (1995), 1485–1490.
  • [2] Castro, I. and Urbano, F., Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form, Tˆohoku Math. J. 45 (1993), 656–582.
  • [3] Castro, I. and Urbano, F., Twistor holomorphic Lagrangian surface in the complex projective and hyperbolic planes, Ann. Global Anal. Geom. 13 (1995), 59–67.
  • [4] Chen, B.-Y., Jacobi’s elliptic functions and Lagrangian immersions, Proc. Royal Soc. Edin- burgh, 126 (1996), 687–704.
  • [5] Chen, B.-Y., Interaction of Legendre curves and Lagrangian submanifolds, Isreal J. Math. 99 (1997), 69-108.
  • [6] Chen, B.-Y., Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions, Glasgow Math. J. 41 (1999), 33-41.
  • [7] Chen, B.-Y., Riemannian submanifolds, Handbook of Riemannian Submanifolds, (Edited by F. Dillen and L. Verstraelen), Elsevier, Holland, volume 1 (2000), 187–418.
  • [8] Chen, B.-Y. and Ogiue, K., Two theorems on Kaehler manifolds, Michigan Math. J. 21 (1974), 225–229.
  • [9] Chen, B.-Y. and Vrancken, L., Lagrangian submanifolds satisfying a basic inequality, Math. Proc. Cambridge Phil. Soc. 120 (1996), 291–307.
  • [10] Liu, Ximin, On Ricci curvature of totally real submanifolds in a quaternion projective space, Arch Math. (Brno), 38 (2002), 297-305.
  • [11] Oprea, T., On a geometric inequality, arXiv:math.DG/0511088v1 3 Nov 2005.
  • [12] Tripathi, M. M., Chen-Ricci inequalities for submanifolds of contact metric manifolds, J. Ad. Math. Studies 1 (2008), 111–134.
  • [13] K. Yano and M. Kon, Structures on manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, 1984.
Yıl 2009, Cilt: 2 Sayı: 2, 39 - 45, 30.10.2009

Öz

Kaynakça

  • [1] Borrelli, V., Chen, B.-Y. and Morvan, J.-M., Une caractérisation gómètrique de la sphère de Whitney, C. R. Acad. Sci. Paris S´er. I Math. 321 (1995), 1485–1490.
  • [2] Castro, I. and Urbano, F., Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form, Tˆohoku Math. J. 45 (1993), 656–582.
  • [3] Castro, I. and Urbano, F., Twistor holomorphic Lagrangian surface in the complex projective and hyperbolic planes, Ann. Global Anal. Geom. 13 (1995), 59–67.
  • [4] Chen, B.-Y., Jacobi’s elliptic functions and Lagrangian immersions, Proc. Royal Soc. Edin- burgh, 126 (1996), 687–704.
  • [5] Chen, B.-Y., Interaction of Legendre curves and Lagrangian submanifolds, Isreal J. Math. 99 (1997), 69-108.
  • [6] Chen, B.-Y., Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions, Glasgow Math. J. 41 (1999), 33-41.
  • [7] Chen, B.-Y., Riemannian submanifolds, Handbook of Riemannian Submanifolds, (Edited by F. Dillen and L. Verstraelen), Elsevier, Holland, volume 1 (2000), 187–418.
  • [8] Chen, B.-Y. and Ogiue, K., Two theorems on Kaehler manifolds, Michigan Math. J. 21 (1974), 225–229.
  • [9] Chen, B.-Y. and Vrancken, L., Lagrangian submanifolds satisfying a basic inequality, Math. Proc. Cambridge Phil. Soc. 120 (1996), 291–307.
  • [10] Liu, Ximin, On Ricci curvature of totally real submanifolds in a quaternion projective space, Arch Math. (Brno), 38 (2002), 297-305.
  • [11] Oprea, T., On a geometric inequality, arXiv:math.DG/0511088v1 3 Nov 2005.
  • [12] Tripathi, M. M., Chen-Ricci inequalities for submanifolds of contact metric manifolds, J. Ad. Math. Studies 1 (2008), 111–134.
  • [13] K. Yano and M. Kon, Structures on manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, 1984.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Shangrong Deng Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 2 Sayı: 2

Kaynak Göster

APA Deng, S. (2009). An Improved Chen-Ricci Inequality. International Electronic Journal of Geometry, 2(2), 39-45.
AMA Deng S. An Improved Chen-Ricci Inequality. Int. Electron. J. Geom. Ekim 2009;2(2):39-45.
Chicago Deng, Shangrong. “An Improved Chen-Ricci Inequality”. International Electronic Journal of Geometry 2, sy. 2 (Ekim 2009): 39-45.
EndNote Deng S (01 Ekim 2009) An Improved Chen-Ricci Inequality. International Electronic Journal of Geometry 2 2 39–45.
IEEE S. Deng, “An Improved Chen-Ricci Inequality”, Int. Electron. J. Geom., c. 2, sy. 2, ss. 39–45, 2009.
ISNAD Deng, Shangrong. “An Improved Chen-Ricci Inequality”. International Electronic Journal of Geometry 2/2 (Ekim 2009), 39-45.
JAMA Deng S. An Improved Chen-Ricci Inequality. Int. Electron. J. Geom. 2009;2:39–45.
MLA Deng, Shangrong. “An Improved Chen-Ricci Inequality”. International Electronic Journal of Geometry, c. 2, sy. 2, 2009, ss. 39-45.
Vancouver Deng S. An Improved Chen-Ricci Inequality. Int. Electron. J. Geom. 2009;2(2):39-45.