Thesis
On the analysis of isometric immersions of Riemannian manifolds
- Abstract:
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This thesis is a study of problems related to isometric immersions of Riemannian manifolds in Euclidean space. We address three main questions: the weak continuity of geometric invariants along sequences of immersions of Riemannian manifolds; the construction of isometric immersions by weak compactness methods; and the validity and regularity of the Gauss equation.
First, we investigate the validity of Cartan's equations for W1,p coframes on surfaces, for all 1...
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Authors
Funding
+ Engineering and Physical Sciences Research Council
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Funder identifier:
http://dx.doi.org/10.13039/501100000266
Funding agency for:
Giron, T
Grant:
EP/L015811/1
Bibliographic Details
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Subjects:
- Deposit date:
- 2021-09-21
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Terms of use
- Copyright holder:
- Tristan P Giron
- Copyright date:
- 2020
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