Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/8507
Title: | g-Derivatives and Gauss Structures on Differentiable Manifolds |
Authors: | Mirabal, Antonio Ramon |
Advisor: | Lintz, R.G. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | Nov-1973 |
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> |
URI: | http://hdl.handle.net/11375/8507 |
Identifier: | opendissertations/3708 4725 1703422 |
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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