TY  - BOOK
AU  - Tromba,Anthony J.
TI  - On the Number of Simply Connected Minimal Surfaces Spanning a Curve
T2  - Memoirs of the American Mathematical Society
SN  - 9781470401559
AV  - QA614.7 -- .T76 1977eb 
U1  - 510/.8 s;516/.362 
PY  - 1977///
CY  - Providence
PB  - American Mathematical Society
KW  - Minimal surfaces
KW  - Critical point theory (Mathematical analysis)
KW  - Boundary value problems
KW  - Electronic books
N1  - Intro -- Table of Contents -- 0. Introduction -- I. A review of the Euler characteristic of a Palais-Smale vector field -- II. Analytical preliminaries - the Sobelev spaces -- III. The global formulation of the problem of Plateau -- IV. The existence of a vector field associated to the Dirichlet functional E[sub(α)] -- V. A proof that the vector field X[sup(α)], associated to E[sub(α)], is Palais-Smale -- VI. The weak Riemannian structure on η[sub(α)] -- VII. The equivariance of X[sup(α)] under the action of the conformal group -- VIII.The regularity results for minimal surfaces -- IX. The Fréchet derivative of the minimal surface vector field X and the surface fibre bundle -- X. The minimal surface vector field X is proper on bounded sets -- XI. Non-degenerate critical submanifolds of η[sub(α)] and a uniqueness theorem for minimal surfaces -- XII. The spray of the weak metric -- XIII. The transversality theorem -- XIV. The Morse number of minimal surfaces spanning a simple closed curve and its invarience under isotopy -- XV. References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113433
ER  -