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A multiple solution theory to the Plateau problem in a Riemannian manifold is established. In [italic capital]S[superscript italic]n, the existence of two solutions to this problem is obtained. The Morse-Tompkins-Shiffman Theorem is extended to the case when the ambient space ad…
This paper is devoted primarily to the study of properties of the Grassmannian of oriented 2-planes in [double-struck capital]ℝ[superscript]n and to applications of these properties to understanding minimal surfaces in [double-struck capital]ℝ[superscript]n via the generalized G…
