On Ricci Curvature Pinching of Lagrangian Submanifolds in the Homogeneous Nearly Kähler $$\pmb {\mathbb {S}}^6(1)$$

Author:

Hu ZejunORCID,Yao Zeke,Yin Jiabin

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference13 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. 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)

3. Dillen, F., Opozda, B., Verstraelen, L., Vrancken, L.: On totally real $$3$$-dimensional submanifolds of the nearly Kaehler $$6$$-sphere. Proc. Am. Math. Soc. 99, 741–749 (1987)

4. Dillen, F., Verstraelen, L., Vrancken, L.: Classification of totally real $$3$$-dimensional submanifolds of $$S^6(1)$$ with $$K\ge 1/16$$. J. Math. Soc. Jpn. 42, 565–584 (1990)

5. Djorić, M., Vrancken, L.: On $$J$$-parallel totally real three-dimensional submanifolds of $$S^6(1)$$. J. Geom. Phys. 60, 175–181 (2010)

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