Аннотация:
In this paper, it is proved that if a compact trans-Sasakian
$3$-manifold
$M^3$
is weakly Einstein and satisfies a reasonable inequality, then
$M^3$
is
homothetic to either a Sasakian manifold or a cosymplectic manifold.
Ключевые слова:
weakly Einstein condition, compactness, Sasakian, cosymplectic, trans-Sasakian
$3$-manifold.
Финансовая поддержка
Номер гранта
Youngth Scientific Research Program
23ZHQN01010
The author was supported by the Youngth Scientific Research Program in
Zhengzhou University of Aeronautics (no. 23ZHQN01010).