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- W2023831486 abstract "A metric ds2 admits a Σ-realization if there is a realization of it in E3 in the form of a surface whose boundary lies on a given surface Σ. This paper proves the existence of Σ-realizations of a certain class of metrics of positive curvature for surfaces of quite general form, and describes a number of possible Σ-realizations of the given metric. The proof is based on a consideration of a nonlinear boundary-value problem for immersion equations. Bibliography: 3 titles." @default.
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- W2023831486 date "1983-04-30" @default.
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- W2023831486 title "ON Σ-REALIZATIONS OF METRICS OF POSITIVE CURVATURE" @default.
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- W2023831486 doi "https://doi.org/10.1070/sm1983v045n04abeh001023" @default.
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