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UBC Theses and Dissertations
Comparison of neighboring semiriemannian geometries Ling, Henry Ho-Kong
Abstract
Given a convergence sequence of metric tensors gn → g on a manifold M, in what sense does the corresponding geometries (M, gn) converge to (M, g)? This question is examined by comparing the nature of the straight lines in each (M, gn) with the nature of the straight lines in (M, g). The cases of semi-Riemannian geometry Riemannian geometry, and Lorentz geometry are considered in succession. The relevance of this question to problems in general relativity is emphasized, and some potential applications of our results to questions concerning, for example, topological censureship, and singularity theorems are indicated.
Item Metadata
| Title |
Comparison of neighboring semiriemannian geometries
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2001
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| Description |
Given a convergence sequence of metric tensors gn → g on a manifold M, in what sense
does the corresponding geometries (M, gn) converge to (M, g)? This question is examined
by comparing the nature of the straight lines in each (M, gn) with the nature of the
straight lines in (M, g). The cases of semi-Riemannian geometry Riemannian geometry,
and Lorentz geometry are considered in succession. The relevance of this question to problems
in general relativity is emphasized, and some potential applications of our results to
questions concerning, for example, topological censureship, and singularity theorems are
indicated.
|
| Extent |
2960970 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2009-08-06
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0080061
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2001-11
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.