The existence of embedded G-invariant minimal hypersurface
نویسندگان
چکیده
For a compact connected Lie group G acting as isometries of cohomogeneity not equal to 0 or 2 on orientable Riemannian manifold $$M^{n+1},$$ we prove the existence nontrivial embedded G-invariant minimal hypersurface, that is smooth outside set Hausdorff dimension at most $$n-7.$$
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2021
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-020-01804-7