@article{Alghamdi2025, 
author = {Fatimah Alghamdi and Fatemah Mofarreh and Akram Ali and Mohamed Lemine Bouleryah},
title = {Some rigidity theorems for totally real submanifolds in complex space forms},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {4},
pages = {8191-8202},
keywords = {complex space form, totally real submanifolds, second fundamental form, pinching theorems},
url = {https://www.sciopen.com/article/10.3934/math.2025376},
doi = {10.3934/math.2025376},
abstract = {A study of the relationship between pseudo-umbilical totally real submanifolds and minimal totally real submanifolds in complex space forms is presented in this paper. The paper studies totally real submanifolds in complex space forms. The moving-frame method and the DDVV inequality (a conjecture for the Wintgen inequality on Riemannian submanifolds in real space forms proven by P.J. De Smet, F. Dillen, L. Verstraelen, and L. Vrancken) are used to obtain some rigidity theorems and an integral inequality, improving the associated results.}
}