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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Main Author: Ren, Shiquan
Format: Thesis
Published: 2012
Subjects:
Online Access:http://studentsrepo.um.edu.my/5772/
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
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author Ren, Shiquan
author_facet Ren, Shiquan
author_sort Ren, Shiquan
building UM Research Repository
collection Online Access
description 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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institution University Malaya
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publishDate 2012
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spelling um-57722015-07-23T04:21:00Z A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan Ren, Shiquan Q Science (General) QA Mathematics 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 2012 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/5772/3/title_page.pdf application/pdf http://studentsrepo.um.edu.my/5772/1/hard_cover.pdf application/pdf http://studentsrepo.um.edu.my/5772/2/thesis_11%2D2.pdf Ren, Shiquan (2012) A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan. Masters thesis, University of Malaya. http://studentsrepo.um.edu.my/5772/
spellingShingle Q Science (General)
QA Mathematics
Ren, Shiquan
A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan
title A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan
title_full A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan
title_fullStr A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan
title_full_unstemmed A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan
title_short A study of real hypersurfaces in complex space forms with condition on the Jacobi operator / Ren Shiquan
title_sort study of real hypersurfaces in complex space forms with condition on the jacobi operator / ren shiquan
topic Q Science (General)
QA Mathematics
url http://studentsrepo.um.edu.my/5772/
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