The Ricci Operator and Shape Operator of Real Hypersurfaces in a Non-Flat 2-Dimensional Complex Space Form - Advances in Pure Mathematics

APM > Vol.3 No.2, March 2013

Advances in Pure Mathematics

Volume 3, Issue 2 (March 2013)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

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The Ricci Operator and Shape Operator of Real Hypersurfaces in a Non-Flat 2-Dimensional Complex Space Form ()

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DOI: 10.4236/apm.2013.32036 3,395 Downloads 6,490 Views Citations

Author(s)

Dong Ho Lim, Woon Ha Sohn, Hyunjung Song

Affiliation(s)

Department of Mathematics, Hankuk University of Foreign Studies, Seoul, Republic of Korea.
Department of Mathematics, Yeungnam University, Kyongbuk, Republic of Korea.

ABSTRACT

In this paper, we study a real hypersurface M in a non-at 2-dimensional complex space form M₂(c) with η-parallel Ricci and shape operators. The characterizations of these real hypersurfaces are obtained.

KEYWORDS

Real Hypersurface; η-Parallel Shape Operator; η-Parallel Ricci Operator; Hopf Hypersurface; Ruled Real Hypersurfaces

Share and Cite:

D. Lim, W. Sohn and H. Song, "The Ricci Operator and Shape Operator of Real Hypersurfaces in a Non-Flat 2-Dimensional Complex Space Form," Advances in Pure Mathematics, Vol. 3 No. 2, 2013, pp. 254-258. doi: 10.4236/apm.2013.32036.

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