Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in
Abstract
:1. Introduction
2. Preliminaries
3. Several Key Estimates
4. Ricci Curvature Pinching Theorem
5. Sectional Curvature Pinching Theorem
6. Scalar Curvature Pinching Theorem
- (i)
- is a sphere ;
- (ii)
- is a Clifford minimal hypersurface contained in with , where the Clifford minimal hypersurface is given by
- (iii)
- is a Veronese
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Qiu, W.-H.; Zhan, X.
Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in
Qiu W-H, Zhan X.
Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in
Qiu, Wang-Hua, and Xin Zhan.
2024. "Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in
Qiu, W.-H., & Zhan, X.
(2024). Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in