A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan
In this thesis, we first review some basic concepts in Riemannian geometry and then give a detailed survey on real hypersurfaces in a non-flat complex space form. After this, some new results on characterizing real hypersurfaces in a non-flat complex space form in terms of R� are presented. The ma...
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| Format: | Thesis |
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2012
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| Online Access: | http://studentsrepo.um.edu.my/5772/3/title_page.pdf http://studentsrepo.um.edu.my/5772/1/hard_cover.pdf http://studentsrepo.um.edu.my/5772/2/thesis_11%2D2.pdf http://studentsrepo.um.edu.my/5772/ |
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| Summary: | In this thesis, we first review some basic concepts in Riemannian geometry and then give a detailed survey on real hypersurfaces in a non-flat complex space form. After this, some new results on characterizing real hypersurfaces in a
non-flat complex space form in terms of R� are presented.
The main results are proved in the last two chapters. We give a characterization for ruled real hypersurfaces in a non-flat complex space form by the condition (rXR�)� = 0, for X 2 |
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