Complete embedded minimal surfaces of finite total curvature
نویسندگان
چکیده
منابع مشابه
Complete Embedded Minimal Surfaces of Finite Total Curvature
2 Basic theory and the global Weierstrass representation 4 2.1 Finite total curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2 The example of Chen-Gackstatter . . . . . . . . . . . . . . . . . . . . . . . . 16 2.3 Embeddedness and finite total curvature: necessary conditions . . . . . . . 20 2.3.1 Flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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— We consider minimal surfaces M which are complete, embedded and have finite total curvature in R3, and bounded, entire solutions with finite Morse index of the Allen-Cahn equation ∆u+f(u) = 0 in R3. Here f = −W ′ with W bistable and balanced, for instance W (u) = 1 4 (1− u2)2. We assume that M has m ≥ 2 ends, and additionally that M is non-degenerate, in the sense that its bounded Jacobi fiel...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1997
ISSN: 0022-040X
DOI: 10.4310/jdg/1214460038