Abstract
The minimal hypersurface equation for a graph in a Riemannian manifold which admits a nowhere zero Killing vector field, whose orthogonal distribution is integrable, is studied. New uniqueness results for the entire solutions of this equation on a compact Riemannian manifold of arbitrary dimension are given. In particular, new Bernstein theorems are proved.
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Romero, A., Rubio, R.M. Bernstein-type Theorems in a Riemannian Manifold with an Irrotational Killing Vector Field. Mediterr. J. Math. 13, 1285–1290 (2016). https://doi.org/10.1007/s00009-015-0546-y
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DOI: https://doi.org/10.1007/s00009-015-0546-y