Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2022; 37(3): 881-891

Online first article April 12, 2022      Printed July 31, 2022

https://doi.org/10.4134/CKMS.c210225

Copyright © The Korean Mathematical Society.

Miao-Tam equation on almost coK"{a}hler manifolds

Tarak Mandal

Jangipur College

Abstract

In the present paper, we have studied Miao-Tam equation on three dimensional almost coK"{a}hler manifolds. We have also proved that there does not exist non-trivial solution of Miao-Tam equation on the said manifolds if the dimension is greater than three. Also we give an example to verify the deduced results.

Keywords: Almost coK"{a}hler manifold, critical equation, Miao-Tam equation, Einstein manifold

MSC numbers: Primary 53C15, 53D25