JP Journal of Geometry and Topology
Volume 21, Issue 4, Pages 373 - 380
(November 2018)
http://dx.doi.org/10.17654/GT021040373 |
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ON CHARACTERIZATIONS OF REAL HYPERSURFACES WITH JACOBI OPERATORS IN 2-DIMENSIONAL NONFLAT COMPLEX SPACE FORM
Dong Ho Lim
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Abstract:
In this paper, we prove that a real hypersurface M in a nonflat complex space form Mn(c), whose Jacobi operator and shape operator commute with the structure tensor on the holomorphic distribution, is a Hopf hypersurface. Also, we give a characterization of this hypersurface. |
| Keywords and phrases: real hypersurface, Jacobi operator, Hopf hypersurface, model spaces.
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