A theory of branched minimal surfaces
By: Anthony Tromba
Series: Springer monographs in mathematics; Springer monographs in mathematics
Publisher: Springer
Published: 2012
Place of publication: Heidelberg; New York
Language: eng
Number of pages: 191
ISBN-13: 9783642256196
Subjects: Verzweigungspunkt; Minimal surfaces; Minimalfläche
Notes: Includes bibliographical references.
Table of contents: title: 1. Introduction; title: 2. Higher order derivatives of Dirichlet's energy; title: 3. Very special case: the theorem for n + 1 even and m + 1 odd; title: 4. The first main theorem: non-exceptional branch points; the non-vanishing of the Lth derivative of of Dirichlet's energy; title: 5. The second main theorem: exceptional branch points; the condition k>l; title: 6. Exceptional branch points without the condition k>l; title: 7 New brief proofs of the Gulliver-Osserman-Rodyen theorem; title: 8. Boundary branch points; title: 9. Scholia; title: Appendix: Non-exceptional branch points; the vanishing of the Lth derivative, L even.