On $C$-totally real submanifolds of $\mathbb{S}^{2n+1}(1)$ with non-negative sectional curvature

Author:

Cheng Xiuxiu1,Hu Zejun1

Affiliation:

1. School of Mathematics and Statistics, Zhengzhou University

Publisher

Tokyo Institute of Technology, Department of Mathematics

Subject

General Mathematics

Reference29 articles.

1. [1] C. Baikoussis, D. E. Blair and T. Koufogiorgos, Integral submanifolds of Sasakian space forms $\overline{M}^{7}(k)$, Results Math. 27 (1995), 207-226.

2. [2] D. E. Blair, Riemannian geometry of contact and symplectic manifolds, 2nd ed., Birkhäuser, Boston 2010.

3. [3] B. Chen and K. Ogiue, On totally real submanifolds, Trans. Amer. Math. Soc. 193 (1974), 257-266.

4. [4] X. Cheng, H. He and Z. Hu, $C$-totally real submanifolds with constant sectional curvature in the Sasakian space forms, Results Math. 76 (2021), Paper No. 144.

5. [5] F. Dillen and L. Vrancken, $C$-totally real submanifolds of $\mathbb{S}^{7}(1)$ with non-negative sectional curvature, Math. J. Okayama Univ. 31 (1989), 227-242.

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1. On conformally flat minimal Legendrian submanifolds in the unit sphere;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2024-05-10

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