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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Degree theory on oriented infinite-dimensional varieties and the Morse number of minimal surfaces spanning a curve in $ {\bf R}\sp n$. I. $ n\geq 4$


Author: A. J. Tromba
Journal: Trans. Amer. Math. Soc. 290 (1985), 385-413
MSC: Primary 58E12; Secondary 58B15, 58C30
MathSciNet review: 787972
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Abstract: A degree theory applicable to Plateau's problem is developed and the Morse equality for minimal surfaces spanning a contour in $ {{\mathbf{R}}^n},n \geq 4$, is proved.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0787972-7
PII: S 0002-9947(1985)0787972-7
Article copyright: © Copyright 1985 American Mathematical Society