Abstract This paper establishes new rigidity theorems for complete spacelike -translator immersed in the pseudo-Euclidean space R^n+pₚ. By imposing suitable upper bounds on the norm or geometric constraints on the norm of the second fundamental form A, we apply generalized maximum principles due to Da Silva, Lima Jr. and de Lima (Arch Math 118: 663–673, 2022), Chen and Qiu (Adv Math 294: 517–531, 2016), and Alias, Caminha and Nascimento (J Math Anal Appl 474: 242–247, 2019). These conditions force the vanishing of the second fundamental form, implying that any such -translator is necessarily a spacelike hyperplane of R^n+pₚ.
Weiller F. C. Barboza (Thu,) studied this question.