Abstract
We show that every compact Einstein Hermitian surface with constant conformal scalar curvature is a Kahler surface and that, in contrast to the compact case, there exits a noncompact Einstein Hermitian and non-Kahler surface with constant conformal scalar curvature.
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The author was supported by Kangwon National University.
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 81–84, January–February, 2006.
Original Russian Text Copyright © 2006 Kim J.
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Kim, J. On Einstein Hermitian Surfaces. Sib Math J 47, 64–67 (2006). https://doi.org/10.1007/s11202-006-0008-7
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DOI: https://doi.org/10.1007/s11202-006-0008-7