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http://hdl.handle.net/11375/8507
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DC Field | Value | Language |
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dc.contributor.advisor | Lintz, R.G. | en_US |
dc.contributor.author | Mirabal, Antonio Ramon | en_US |
dc.date.accessioned | 2014-06-18T16:43:06Z | - |
dc.date.available | 2014-06-18T16:43:06Z | - |
dc.date.created | 2010-12-20 | en_US |
dc.date.issued | 1973-11 | en_US |
dc.identifier.other | opendissertations/3708 | en_US |
dc.identifier.other | 4725 | en_US |
dc.identifier.other | 1703422 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/8507 | - |
dc.description.abstract | <p>Some results are given connecting the concepts of g-derivatives and Jacobians on differentiable manifolds. Also some general properties of Gauss structures on manifolds important for our problems are discussed here. The connection between g-derivatives and Jacobians is given by studying the following problem: Given two differentiable manifolds Mn and M'n and a differentiable map Φ: Mn → M'n with ⎮JU, U'Φ(x)⎮ > O* for each x ε Mn, find a g-function f and families of coverings (V,V') such that f: (Mn, V) → (M'n, V') generates Φ, and for suitable Gauss structures F, F' the g-derivatives Df generates a continuous function ψ, such that for all x ε Mn: ψ(x) = ⎮JU, U'Φ(x)⎮ for convenient local charts U,U.</p> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | g-Derivatives and Gauss Structures on Differentiable Manifolds | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 1.46 MB | Adobe PDF | View/Open |
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