On the linearized Darboux equation arising in isometric embedding of the Alexandrov positive annulus

Chunhe Li1
1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China

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Tài liệu tham khảo

Alexandrov, A. D., On a class of closed surfaces, Mat. Sbornic., 4, 1938, 69–77.

Han, Q. and Hong, J. -X., Isometric embedding of Riemannian manifolds in Euclidean spaces, AMS Mathematical Surveys and Monographs, Providence, RI, 2006.

Li, C. H., On a linear equation arising in isometric embedding of torus-like surface, Chin. Ann. Math., 30B(1), 2009, 27–38.

Li, C. H., The analyticity of solutions to a class of degenerate elliptic equations, Science China Mathematics, 53(8), 2010, 2061–2068.

Li, C. H., The Semi-global isometric embedding of surfaces with Gaussian curvature changing sign clearly, Science China Mathematics, 55(12), 2012, 2507–2515.

Yau, S. T., Lecture on Differential Geometry, University of California, Berkeley, 1977.