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Title: | Eigenvalue functions of symmetric tensorfields on Riemannian manifolds |
Authors: | Tee-How, Loo Kon, Song How looth@um.edu.my shkon@um.edu.my |
Keywords: | Symmetric tensor fields Riemannian manifolds Eigenvalue functions Regional Conference on Applied and Engineering Mathematics (RCAEM) |
Issue Date: | 2-Jun-2010 |
Publisher: | Universiti Malaysia Perlis (UniMAP) |
Citation: | Vol.2(20), p.267 |
Series/Report no.: | Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 |
Abstract: | 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. |
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. |
URI: | http://dspace.unimap.edu.my/123456789/10259 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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R100.pdf | Access is limited to UniMAP community | 13.44 kB | Adobe PDF | View/Open |
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