Eigenvalue functions of symmetric tensorfields on Riemannian manifolds
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
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Universiti Malaysia Perlis (UniMAP)
2010
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my.unimap-102592010-11-23T02:27:44Z Eigenvalue functions of symmetric tensorfields on Riemannian manifolds Tee-How, Loo Kon, Song How looth@um.edu.my shkon@um.edu.my Symmetric tensor fields Riemannian manifolds Eigenvalue functions Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. It is well-known that eigenvalues of a symmetric linear operator on an n-dimensional real vector space are all real. In general, for a symmetric tensor field of type (1, 1) on a connected n-dimensional Riemannian manifold M, the eigenvalues at each point formed n real-valued functions. These eigenvalue functions are continuous but not necessarily differentiable on the whole of M. In the talk, we shall first discuss the differentiability of the eigenvalue functions and then discuss some of the applications to the Riemannian geometry of hypersurfaces. 2010-11-23T02:27:44Z 2010-11-23T02:27:44Z 2010-06-02 Working Paper Vol.2(20), p.267 http://hdl.handle.net/123456789/10259 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan |
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Universiti Malaysia Perlis |
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UniMAP Library |
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Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Malaysia Perlis |
| content_source |
UniMAP Library Digital Repository |
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http://dspace.unimap.edu.my/ |
| language |
English |
| topic |
Symmetric tensor fields Riemannian manifolds Eigenvalue functions Regional Conference on Applied and Engineering Mathematics (RCAEM) |
| spellingShingle |
Symmetric tensor fields Riemannian manifolds Eigenvalue functions Regional Conference on Applied and Engineering Mathematics (RCAEM) Tee-How, Loo Kon, Song How Eigenvalue functions of symmetric tensorfields on Riemannian manifolds |
| description |
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| author2 |
looth@um.edu.my |
| author_facet |
looth@um.edu.my Tee-How, Loo Kon, Song How |
| format |
Working Paper |
| author |
Tee-How, Loo Kon, Song How |
| author_sort |
Tee-How, Loo |
| title |
Eigenvalue functions of symmetric tensorfields on Riemannian manifolds |
| title_short |
Eigenvalue functions of symmetric tensorfields on Riemannian manifolds |
| title_full |
Eigenvalue functions of symmetric tensorfields on Riemannian manifolds |
| title_fullStr |
Eigenvalue functions of symmetric tensorfields on Riemannian manifolds |
| title_full_unstemmed |
Eigenvalue functions of symmetric tensorfields on Riemannian manifolds |
| title_sort |
eigenvalue functions of symmetric tensorfields on riemannian manifolds |
| publisher |
Universiti Malaysia Perlis (UniMAP) |
| publishDate |
2010 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/10259 |
| _version_ |
1643789796702683136 |
| score |
13.251813 |