On the Ricci curvature of 3-submanifolds in the unit sphere

Author:

Hu Zejun,Xing Cheng

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference18 articles.

1. Antić, M., Djorić, M., Vrancken, L.: Characterization of totally geodesic totally real $$3$$-dimensional submanifolds in the $$6$$-sphere. Acta Math. Sin. (Engl. Ser.) 22, 1557–1564 (2006)

2. Baikoussis, C., Blair, D.E., Koufogiorgos, T.: Integral submanifolds of Sasakian space forms $$\overline{M}^7(k)$$. Results Math. 27, 207–226 (1995)

3. Chern, S.S., do Carmo, M., Kobayashi, S.: Minimal submanifolds of a sphere with second fundamental form of constant length. In: Browder, F.E. (ed.) Functional Analysis and Related Fields, pp. 59–75. Springer, New York (1970)

4. Castro, I., Li, H., Urbano, F.: Hamiltonian-minimal Lagrangian submanifolds in complex space forms. Pac. J. Math. 227, 43–63 (2006)

5. Dillen, F., Vrancken, L.: $$C$$-totally real submanifolds of $$S^7(1)$$ with nonnegative sectional curvature. Math. J. Okayama Univ. 31, 227–242 (1989)

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