Application of generalized analytic functions on Riemann surfaces to the investigation of G-deformations of two-dimensional surfaces in E 4. (Russian) Zbl 0654.53005

Generalized analytic functions are applied for the investigation of deformations which preserve the Grassmannian image of a two-dimensional orientable surface F of negative curvature with compact boundary \(\partial F\) (if it exists) in \(E_ 4\). The main step of this investigation are theorems (proved in § 4) about the number of linearly independent solutions and the solvability of the boundary value problems of Markushevich and Hilbert for generalized analytic functions on noncompact Riemannian surfaces.
Reviewer: St.Hineva


53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
26E05 Real-analytic functions
Full Text: EuDML