Critical metric equation on α-cosymplectic manifold

Autor: Baishya, Kanak Kanti, Bakshi, Manoj Ray
Zdroj: The Journal of Analysis; 20220101, Issue: Preprints p1-10, 10p
Abstrakt: The paper attempts to introduce and study ∗-general critical equation in the frame of α-cosymplectic manifold. It is proved that if an α-cosymplectic manifold admits the ∗-general critical equation with a non trivial solution (λ,g), then either M2n+1is Einstein, or M2n+1is locally the product of a Kähler manifold and an unit circle S1or interval. Finally, an example of α-cosymplectic manifold admitting ∗-general critical equation is discussed.
Databáze: Supplemental Index