Removable singularities for sections of Riemannian submersions of prescribed mean curvature |
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Authors: | Claudemir Leandro |
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Affiliation: | a Instituto de Matemática Pura e Aplicada, IMPA, Estrada Dona Castorina 110, Rio de Janeiro 22460-320, Brazil b Institut de Mathématiques, Université Paris VII, 2 place Jussieu, 75005 Paris, France |
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Abstract: | We will prove that isolated singularities of sections with prescribed mean curvature of a Riemannian submersion fibered by geodesics of a vertical Killing field, are removable. Also we obtain information on the growth of the difference of two sections , having the same prescribed mean curvature and u=v on ∂Ω. This generalizes Theorem 2 of [P. Collin, R. Krust, Le problème de Dirichlet l'équation des surfaces minimales sur des domaines non bornés, Bull. S.M.F. 119 (4) (1991) 443-462]. |
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Keywords: | 35J60 53C42 |
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