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A Theory of Branched Minimal Surfaces
One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not; i.e. does its derivative have maximal rank everywhere. The purpose of this monograph is to present an elementary proof of this very fundamental and beautifu...
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2012.
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| Edition: | 1st ed. 2012. |
| Series: | Springer Monographs in Mathematics,
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| Subjects: | |
| Online Access: | Texto Completo |
Table of Contents:
- 1.Introduction
- 2.Higher order Derivatives of Dirichlets' Energy
- 3.Very Special Case; The Theorem for n + 1 Even and m + 1 Odd
- 4.The First Main Theorem; Non-Exceptional Branch Points
- 5.The Second Main Theorem: Exceptional Branch Points; The Condition k > l
- 6.Exceptional Branch Points Without The Condition k > l
- 7.New Brief Proofs of the Gulliver-Osserman-Royden Theorem
- 8.Boundary Branch Points
- Scholia
- Appendix
- Bibliography.