Abstract
In the present paper, the solvability condition of the linearized Gauss-Codazzi system and the solutions to the homogenous system are given. In the meantime, the solvability of a relevant linearized Darboux equation is given. The equations are arising in a geometric problem which is concerned with the realization of the Alexandrov’s positive annulus in ℝ3.
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Li, C. On the linearized Darboux equation arising in isometric embedding of the Alexandrov positive annulus. Chin. Ann. Math. Ser. B 34, 435–454 (2013). https://doi.org/10.1007/s11401-013-0770-3
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DOI: https://doi.org/10.1007/s11401-013-0770-3