The structure vector field and structure Jacobi operator of real hypersurfaces in nonflat complex space forms |
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| Authors: | U-Hang Ki Setsuo Nagai Ryoichi Takagi |
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| Affiliation: | (1) Department of Mathematics, Shimane University, Matsue 690-8504, Japan;(2) Department of Mathematics, Nagoya Institute of Technology, Nagoya 466-8555, Japan |
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| Abstract: | In this paper we determine the real hypersurfaces for which the structure Jacobi operator commutes over both the Ricci tensors and structure tensors (for a definition of the operator see Sect. 1). We prove that such hypersurfaces are homogneous real hypersurfaces of type (A) and are a special class of Hopf hypersurfaces. |
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