文献类型：期刊文献

英文题名：On biharmonic surfaces in pseudo-Riemannian 4-dimensional space forms

作者：Zhang, Yonggang[1];Du, Li[2]

第一作者：张永刚

通信作者：Du, L[1]

机构：[1]Gansu Univ Chinese Med, Dept Sci, Lanzhou 743000, Gansu, Peoples R China;[2]Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China

第一机构：甘肃中医药大学

通信机构：[1]corresponding author), Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China.

年份：2025

期号：53

起止页码：294

外文期刊名：ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS

收录：EI(收录号：20252318566244);Scopus(收录号：2-s2.0-105007439819);WOS:【ESCI(收录号:WOS:001671416800022)】；

基金：The second author is supported by the Natural Science Foundation of Chongqing (No. CSTB2024NSCQ-MSX0421) .

语种：英文

外文关键词：Pseudo-Riemannian space forms; biharmonic surfaces; minimal surfaces; parallel mean curvature vector field; pseudo-umbilical surfaces

摘要：In this paper, biharmonic pseudo-Riemannian surfaces with diagonalizable shape operetor in pseudo-Riemannian space form N-s(4) (c) are studied. We prove that the surfaces with light-like mean curvature vector field are pseudo-umbilical. For non light-like mean curvature vector field, we show that the pseudo-umbilical surfaces is minimal or H-2 = |c|. Also, we give some sufficient conditions for such surfaces with parallel mean curvature vector field to be minimal.