RIEMANNIAN SUBMERSIONS AND LAGRANGIAN ISOMETRIC IMMERSION 1
Yıl 2013,
Cilt: 6 Sayı: 2, 14 - 18, 30.10.2013
Yun Myung Oh
Öz
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)
Kaynakça
- [1] Chen, B. Y., Riemannian submersions, minimal immersions and cohomology class, Proc.
Japan Acad., 81, Ser. A. (2005), 162-167.
- [2] Chen, B. Y., Examples and classification of Riemannian submersions satisfying a basic equal-
ity, Bull. Austral. Math. Soc. ,Vol. 72 (2005), 391-402.
- [3] Deng, S., Improved Chen-Ricci Inequality for Lagrangian submanifolds in Quaternion space forms,
Int. Electron. J. Geom., Vol. 5 (2012), 163-170
- [4] Falcitelli, M., Ianus, S. and Pastore, A., Riemannian submersions and related topics, World
Scientific, Singapore, 2004.
- [5] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press,
New York, 1983.
Yıl 2013,
Cilt: 6 Sayı: 2, 14 - 18, 30.10.2013
Yun Myung Oh
Kaynakça
- [1] Chen, B. Y., Riemannian submersions, minimal immersions and cohomology class, Proc.
Japan Acad., 81, Ser. A. (2005), 162-167.
- [2] Chen, B. Y., Examples and classification of Riemannian submersions satisfying a basic equal-
ity, Bull. Austral. Math. Soc. ,Vol. 72 (2005), 391-402.
- [3] Deng, S., Improved Chen-Ricci Inequality for Lagrangian submanifolds in Quaternion space forms,
Int. Electron. J. Geom., Vol. 5 (2012), 163-170
- [4] Falcitelli, M., Ianus, S. and Pastore, A., Riemannian submersions and related topics, World
Scientific, Singapore, 2004.
- [5] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press,
New York, 1983.
Toplam 5 adet kaynakça vardır.