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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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Bibliographic Details
Main Authors: Tee-How, Loo, Kon, Song How
Other Authors: looth@um.edu.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
Subjects:
Symmetric tensor fields
Riemannian manifolds
Eigenvalue functions
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10259
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spelling 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
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider 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 13.222552

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