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- W1536394080 abstract "We establish the system of partial differential equations satisfied by the riemannian metrics on open subsets of ${mathbb {R}}^{3}$ which admit planes as minimal surfaces. This is a nonlinear system of 10 partial differential equations, with the euclidian metric as a particular solution. In a previous work, we solved this system for axially symmetrical metrics. In this paper we linearize the system at the euclidian metric and solve the linear system. We obtain a 20-dimensional space of solutions." @default.
- W1536394080 created "2016-06-24" @default.
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- W1536394080 date "1996-01-01" @default.
- W1536394080 modified "2023-09-24" @default.
- W1536394080 title "Sur les metriques admettant les plans comme surfaces minimales" @default.
- W1536394080 cites W2139502098 @default.
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- W1536394080 doi "https://doi.org/10.1090/s0002-9939-96-03530-7" @default.
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