Critical point equation on $(k,\mu)$-almost co-Kähler manifold
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 343-349
Chiranjib Dey; Abul Kalam Mondal; Chiranjib Dey; Abul Kalam Mondal. Critical point equation on $(k,\mu)$-almost co-Kähler manifold. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 343-349. http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a12/
@article{AMUC_2020_89_2_a12,
     author = {Chiranjib Dey and Abul Kalam Mondal and Chiranjib Dey and Abul Kalam Mondal},
     title = { Critical point equation on $(k,\mu)$-almost {co-K\"ahler} manifold},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {343--349},
     year = {2020},
     volume = {89},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a12/}
}
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Our aim is to study critical point equation conjecture on (k,mu)-almost co-Kahler manifolds. We prove that if a (k,mu)-almost co-Kahler manifoldof dimension greater than three satisfies critical point equation, then either mu is constant or the manifold is an Einstein manifold provided k < 0.