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...
Enregistré dans:
| Auteur principal: | |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2012. |
| Collection: | Springer Monographs in Mathematics
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| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A theory of branched minimal surfaces, Anthony Tromba, Heidelberg, Springer, 2012, 1 vol. (IX-191 p.), Springer monographs in mathematics, 978-3-642-25619-6 • A theory of branched minimal surfaces, Anthony Tromba, Heidelberg, Springer, 2012, 1 vol. (IX-191 p.), Springer monographs in mathematics, 978-3-642-25619-6 • A Theory of Branched Minimal Surfaces, Texte imprimé, 9783642435201 • A Theory of Branched Minimal Surfaces, Texte imprimé, 9783642256219 |
Table des matières:
- 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