International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 33-36, Pages 1837-1842
doi:10.1155/S0161171204310409

A remark on four-dimensional almost Kähler-Einstein manifolds with negative scalar curvature

R.S. Lemence1 , T. Oguro2 and K. Sekigawa3

1Department of Mathematical Science, Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan
2Department of Mathematical Sciences, School of Science and Engineering, Tokyo Denki University, 350-0394, Saitama, Japan
3Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan

Abstract

Concerning the Goldberg conjecture, we will prove a result obtained by applying the result of Iton in terms of L2-norm of the scalar curvature.