On a Linear Equation Arising in Isometric Embedding of Torus-like Surface

Citation:

Chunhe LI.On a Linear Equation Arising in Isometric Embedding of Torus-like Surface[J].Chinese Annals of Mathematics B,2009,(1):27~38
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Authors:

Chunhe LI;
Abstract: The solvability of a linear equation and the regularity of the solution are discussed. The equation is arising in a geometric problem which is concerned with the realization of Alexandroff’s positive annul in R3.

Keywords:

Alexandroff’s positive annul, Weighted norm, Regularity

Classification:

53C24, 53C45
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