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Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 5

The property of real hypersurfaces in 2-dimensional complex space form with Ricci operator

Dong Ho LIM, Woon Ha SOHN, Seong-Soo AHN

Pages
920–923
DOI
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Abstract

Let M be a real hypersurface in a complex space form M2(c), c \neq 0. In this paper, we prove that S f=f S on M if and only if M is pseudo-Einstein.

Özet

Let M be a real hypersurface in a complex space form M2(c), c \neq 0. In this paper, we prove that S f=f S on M if and only if M is pseudo-Einstein.

Keywords: Real hypersurface, Ricci operator, Hopf hypersurface, Pseudo-Einstein hypersurface