Rigidity and vanishing results on totally real submanifolds under $L^p$-integrable conditions

Abstract

In this paper, we revise some results on rigidity and vanishing properties obtained by \textit{Cuong et.al} in \cite{CDS24} on $n$-dimensional totally real minimal submanifolds $M$ immersed in complex space forms ${\tilde{M}}^n(c)$, for $c\le 0$. We extend the range of $p$ in their paper.

arXiv comment16 pages